The OEIS Foundation Inc. is a New Jersey nonprofit corporation (#0101000611; Articles of incorporation filed with the State of New Jersey, April 14 2009; EIN 30-0562250) whose main goals are the following four items:
These goals are described in greater detail in a later section of this web page, and in the Articles of Incorporation and Bylaws.
To facilitate the fourth goal, The OEIS Foundation Inc. has been approved by the Internal Revenue Service as a charity and a Section 501(c)(3) tax-exempt organization. For details please see the section on Tax-exempt status. Tax-deductible donations to The OEIS Foundation Inc. can be made through PayPal using the icon at the top right of this page (see also below).
Note: Except when used in the name of this corporation (The OEIS Foundation Inc.), the word "OEIS" is an abbreviation for "The On-Line Encyclopedia of Integer Sequences®".
The On-Line Encyclopedia of Integer Sequences® (OEIS®) is the on-line version of a database of sequences of numbers which will soon be celebrating its 50th anniversary.
A conventional dictionary is a collection of words, together with explanations of their meanings, hints for their pronunciation, pictures illustrating particular words, examples showing how the words have been used in books and newspapers, and so on.
The OEIS is a collection of sequences of numbers (such as 1, 2, 4, 8, 16, 32, 64, 128, ...) together with, for each sequence, a list of items such as:
The OEIS currently contains about 300,000 entries (although that number will be out-of-date by the time you read it). These have been distilled from many sources - books, journals, articles, and letters and electronic mail messages from thousands of contributors. Since November 11, 2010, users have been able to use the Internet to submit contributions to the OEIS. All submissions are refereed.
The main use for the OEIS is to identify a number sequence that you have come across, perhaps in your work, while reading a book, or in a quiz, etc.
For example, you discover what you think may be a new algorithm for checking that a file of medical records is in the correct order. (Perhaps you are a computer scientist or someone working in information science.)
To handle files of 1, 2, 3, 4, ... records, your algorithm takes 0, 1, 3, 5, 9, 11, 14, 17, 25, ... steps.
How can you check if someone has discovered this algorithm before? You decide to ask the OEIS if this sequence has appeared before in the scientific literature.
You go the OEIS web site, enter the numbers you have calculated, and click "Submit".
The reply tells you that this is sequence A3071, which is the number of steps needed for "sorting by list merging", a well-known algorithm. The entry directs you to Section 5.3.1 of Volume 3 of D. E. Knuth, "The Art of Computer Programming", where you find your algorithm described. The entry even gives an explicit formula for the nth term. You decide not to apply for a patent!
The OEIS web site includes a list of some 4500 articles, books, theses, etc., that have acknowledged help from the OEIS.
For further information about the OEIS, see the OEIS Welcome Page, the Lookup Page, the Demonstration Pages, or the Wikipedia article.
The collection was begun by Neil J. A. Sloane (henceforth, "NJAS") in 1964 when he was a graduate student at Cornell University in Ithaca NY. He had encountered a sequence of numbers while working on his dissertation, namely 1, 8, 78, 944, ... (now entry A435. in the OEIS), and was looking for a formula for the n-th term, in order to determine the rate of growth of the terms.
He noticed that although several books in the Cornell library contained sequences somewhat similar to this, this particular sequence was not mentioned. In order to keep track of the sequences in these books, NJAS started recording them on file cards, which he sorted into lexicographic order.
The sequences were transferred to punched cards in 1967, and were made into a book in 1973 ("A Handbook of Integer Sequences", by NJAS, Academic Press, NY).
NJAS joined AT&T Bell Laboratories in 1969. Following the publication of the book, a large amount of correspondence ensued, with suggestions for further sequences and updates to the existing entries. Many people remarked how useful they found the book, and how surprising it was that no one had published such a collection before.
By the early 1990's over a cubic meter of correspondence had accumulated. A Canadian mathematician, Simon Plouffe, offered to help in preparing a revised edition of the book, and in 1995 "The Encyclopedia of Integer Sequences", by NJAS and Simon Plouffe, was published by Academic Press, San Diego. (Simon Plouffe is now one of the Trustees of The OEIS Foundation Inc.) The 1973 book contained 2372 sequences, and the 1995 book 5487 sequences, occupying 587 pages.
Again, once the book appeared, many further sequences and updates were submitted from people all over the world. NJAS waited a year, until the size of the collection had doubled, to 10,000 entries, and then in 1996 he launched the On-Line Encyclopedia of Integer Sequences on the Internet. From 1996 until November 11, 2010, this was part of NJAS's home page on the AT&T Labs Web Site.
Since 1996, the collection has grown by 10,000 to 18,000 entries per year. At the present time (May 29, 2013) there are 225,735 entries. If it were to be published in book form today, it would require at least 750 volumes the size of the 1995 book.
Starting in 2002, NJAS added a group of associate editors to help process submissions to the OEIS. However, because they did not have access to the computer where the OEIS was maintained, almost all the work of updating it had to be done single-handedly by NJAS. This involved processing 100 or 200 emails every day, and was getting to be beyond what one person could handle.
In January 2009, therefore, it was decided to make a drastic change. We (NJAS and the associate editors) made a plan to convert the OEIS into a "wiki" format, somewhat along the lines of the well-known Wikipedia, which would be hosted by a commercial hosting service. (A copy of a letter of consent from AT&T agreeing to this course of action is available on request from NJAS.) It was also decided to set up the OEIS Foundation, the goals of which would be to own, maintain and raise funds to support the new version of the OEIS.
Most of this went smoothly. The OEIS Foundation Inc. was incorporated in the State of New Jersey on April 14, 2009. We rented space on a commercial hosting service, and tried to move the OEIS to the new site.
Here, however, we ran into a very serious problem. In the summer of 2009, when we tried to get the OEIS working as a wiki, we discovered that the Mediawiki software was not capable of handling the kind of queries that arise in looking up sequences. This was a disaster.
It took us over a year to resolve this problem. In the end, Russ Cox completely rewrote all the programs needed to maintain the database and answer queries - a huge task! NJAS's colleague David Applegate has also been of enormous help in getting the new system working.
As a result of their work, the new OEIS was finally launched on November 11, 2010. (For more details, see the attached announcement.)
It is now possible for anyone in the world to propose a new sequence or an update to an existing sequence. To do this, users must first register. A group of about 130 editors has been formed, whose job it is to review submissions before they become a permanent part of the OEIS.
So, after nearly two years of struggle, the OEIS was finally able to operate without NJAS having to approve every change. After 46 years of running the database, this came as a great relief to him.
As mentioned in the previous paragraph, the OEIS was successfully launched in its new home (http://oeis.org) on November 11, 2010. At this time it contained 180,284 sequences.
In the first full year of operation,
from Nov 11 2010 to Dec 1 2011, 19716 new sequences
were accepted, an average of over 50 per day,
and there were about 250 edits per day of existing sequences.
We now have over 20 Editors-in-Chief and over 80 Associate Editors,
and about 2000 registered users (see
here
for these lists).
The following is a summary of the traffic on the new web site for the months of December 2010 and September 2015. The first four columns are the daily average, the last six columns are the total for the month. (These figures don't mean much, since most of the traffic comes from web-crawlers, but are shown here because people often ask for them. The figures are lower for 2015 presumably because now the web-crawlers are only downloading pages that have changed.)
Hits | Files | Pages | Visits | | | Sites | KBytes | Visits | Pages | Files | Hits |
164491 | 93721 | 141310 | 8290 | | | 84612 | 40341570 | 257006 | 4380636 | 2905370 | 5099232 |
71347 | 69146 | 34105 | 1182 | | | 12236 | 11502230 | 26021 | 750326 | 1521224 | 1569648 |
The Wiki part of the new OEIS can be found at http://oeis.org/wiki.
Sequence A200000 was added on November 20, 2011: this is an interesting sequence concerning paths (or "meanders") through a grid.
We reached 200000 sequences at midnight on December 1, 2011, the 200000-th sequence being A201463: see the Press release.
In December 2014 the editors voted on which recently submitted sequence would become A250000. The winner was the Peaceable Queens sequence, originally submitted by Don Knuth on August 1, 2014, and renumbered as A250000 on December 15 2014.
At a meeting of the Trustees of The OEIS Foundation Inc. on June 27 2021 it was decided that Russ Cox will take over as President of the Foundation and Neil Sloane will become Chairman of the Board.
The main reason for this change is that Neil is now 81, and wishes to spend more time on his writing projects (which naturally involve sequences).
The OEIS Foundation Inc. was set up in 2009 as a 501(c)(3) Public Charity whose purpose is to own, maintain and raise funds to support The On-Line Encyclopedia of Integer Sequences (or OEIS) database. Neil James Alexander Sloane served as President of the Foundation from its creation until the present. Russell Stensby Cox has been a Trustee of the Foundation since its creation and has been Vice-President since 2019.
But Russ's association with the OEIS goes back a lot longer than that. He has been a contributor to and supporter of the database for more than 25 years. He was of great help when the OEIS was still on Neil Sloane's home page at AT&T; Bell Labs, and since the OEIS was moved to an independent hosting service in 2009/2010, Russ has been in charge of the software. Russ's programs are the reason our server responds so quickly to the 630,000 queries we get every day.
The OEIS could not be in better hands.
[The On-Line Encyclopedia of Integer Sequences, or OEIS (https://oeis.org) was started in 1964 and has been online since 1995. It provides a unique service to the scientific community, identifying number sequences and providing comprehensive information about them. It contains 345,000 entries, has 10,000 registered users, and has been cited in the scientific literature nearly 10,000 times, very often with a comment that "this result would not have been discovered without the help of the OEIS".]
The goals are repeated here, giving further details about each one.
(1) To own the intellectual property known as "The On-Line Encyclopedia of Integer Sequences" (or "OEIS").
Added October 28, 2009: NJAS has now transferred his intellectual property in the OEIS to The OEIS Foundation Inc. For details see below.
(2) To maintain the OEIS as a service that is freely accessible by the general public.
The new version of the OEIS launched
on November 11, 2010 (see the
announcement)
can be accessed on the Internet free of charge
by anyone in the world.
It has
the form of a "moderated wiki".
Any registered user (and
registration
is free) can propose new sequences
or modifications to existing entries. However, these proposals will not
become a permanent part of the OEIS until they have been approved
by a member of the Editorial Board.
People without access to the Internet can consult the OEIS
via two free email services.
One of the responsibilities of The OEIS Foundation Inc. is to keep the new version of the OEIS, (or, in future years, whatever replaces it) up and running 24 hours a day, seven days a week. This will of course require maintaining all the computer programs that underlie the OEIS.
(3) To act so as to maintain its own existence indefinitely.
The trustees are to serve for a period of three years, with the option of unlimited renewals.
The trustees are to elect the officers, and new members may be added as the needs of the OEIS evolve.
The trustees are also to monitor the performance of the Editorial Board of the OEIS.
It is hoped that the OEIS will survive into the distant future, and the Trustees of The OEIS Foundation Inc. are charged with taking "the long view". This will include evolving the medium in which the OEIS is stored when that becomes necessary. Over the past 46 years the medium in which the OEIS has been stored has changed from file cards to punched cards to magnetic tape to magnetic disks, and no doubt further changes will be required in the future.
A list of members of the Board of Trustees may be found here.
(4) To collect and distribute funds in order to carry out the first three goals.
It is intended that The OEIS Foundation Inc. will be a charity and a Section 501(c)(3) tax-exempt organization. An application for tax-exempt status was filed with the Internal Revenue Service on July 2, 2009. Tax-exempt status was granted on September 10, 2009 (see the following section).
Initially the expenses will be the costs involved with setting up The OEIS Foundation Inc., filing for tax-exempt status, and in maintaining the wiki version on a web hosting site. Additional expenses will arise from publicizing the Foundation at scientific meetings.
Future expenses may include paying salaries to people to maintain the OEIS.
The OEIS Advisory Board was created on May 7, 2013, with the goal of having a group of distinguished scientists that the Board of Trustees and other members of the OEIS community can call upon for advice and guidance on matters related to the OEIS or the OEIS Foundation.
A list of the members of the Advisory Board may be found here.
The Advisors will be invited to participate in meetings of the Board of Trustees, and to vote on resolutions, although their votes will not be counted in the official tally.
To begin with, members may be added to or removed from the Advisory Board by the President after consultation with the Board of Trustees. Initially there will not be a fixed term for Advisory Board members.
At some later time, the make-up of the Advisory Board may be added to the By-Laws.
We applied for tax-exempt status in the USA for The OEIS Foundation Inc. on July 2, 2009. Here is a copy of the IRS Form 1023 that we submitted, and of an attachment containing detailed responses to certain sections of that form.
On August 22, 2009, we received a letter from the IRS requesting additional information and clarification of certain points.
Neil J. A. Sloane replied on August 26, 2009, providing answers to these questions. His letter can be seen here.
On September 10, 2009, the IRS approved our request. Their letter can be seen here.
The important points are as follows:
We are very grateful to Nancy Eberhardt, Esq., Director of the New Jersey Program of the Pro Bono Partnership, for her invaluable help with all the legal matters involved in setting up and registering the OEIS Foundation.
The New Jersey Pro Bono Partnership has also been of great help in putting us in touch with attorneys who have assisted us in drafting legal documents that we needed for our web site. Several times now we have asked Nancy Eberhardt Esq. and the New Jersey Pro Bono Partnership for help, and they have never let us down.
We also thank Terry Ilardi, Esq., Copyright Counsel for the IBM Corporation (working "Pro Bono") who drafted our first two license agreements for us: the OEIS Contributor's License Agreement and the OEIS End-User License Agreement. The OEIS Foundation is very grateful to him for his help.
We also thank Shannon Hennessy Pulaski, Esq., of Shannon Hennessy Pulaski, LLC (working "Pro Bono") who drafted the OEIS Terms of Use Agreement. The OEIS Foundation is very grateful to her for her help.
Change of Registered Agent. July 7 2021: The Registered Agaent for the OEIS Foundation Inc is now The CT Corporation System, 829 Bear Tavern Rd, West Trenton, NJ 08628. See the Certificate.
On November 3, 2009 we filed documents with various agencies of the State of New Jersey
to register the OEIS Foundation Inc. as a new charity in NJ, and to apply
for exemption from NJ business tax and NJ sales and use tax.
On November 12, 2009 we received a letter of
exemption from NJ business tax.
On November 24, 2009 we received a letter of
exemption from NJ sales and use tax.
On November 24, 2009 we also received a
NJ Sales Tax Exempt Organization Certificate.
On December 2, 2009 we received a
NJ New Charities Registration letter.
Copy of NJ Division of Consumer Affairs Registration/Verification Forms CRI-200 or CRI-300 for:
2010 (filed in May 2011),
2011 (filed in July 2012),
2012 (filed in April 2013),
2013 (filed in March 2014),
2014 (filed in April 2015).
2015 (filed in June 2016),
2016 (filed in Dec 2017),
2017 (filed in May 2018),
2018 (Filed in Aug 2019),
2018 (Receipt),
2019 (filed in Dec 2020),
2019 (Receipt).
The following is a slightly edited version of an announcement that NJAS made on October 27 2009 to the Trustees of The OEIS Foundation Inc.
Yesterday (Monday, October 26 2009) was a landmark day in the history of the OEIS. I transferred the intellectual property I own in the OEIS to The OEIS Foundation Inc. The letter of assignment can be seen here.To make the transfer precise, my colleague David Applegate and I burned a DVD containing a snapshot of the whole OEIS (the sequences, of course, as well as all the associated files), which accompanies the letter of assignment as Exhibit A.
The DVD contains about 1.4GB. The main sequence file contains 164891 sequences. It is 2510785 lines long and contains 169521003 characters. There are also 10716 b-files, and the b-files and other similar files comprise 852M. Another 280M are files associated with the lookup process.
I am grateful to Terry Ilardi, Esq., of IBM Corporation (working "Pro Bono") who drafted the letter of assignment, and to David Applegate for help in creating the DVD.
On June 16, 2010, we filed applications to trademark "The On-Line Encyclopedia of Integer Sequences" and "OEIS" with the United States Patent and Trademark Office. We are very grateful to Debra A. Shelinsky Greene, Esq., Counsel, and Florence M. Niel Henits, Trademark Paralegal, both of the Trademarks and Copyrights division, Merck & Co., Inc., working "Pro Bono", who filed the applications on behalf of The OEIS Foundation.
"OEIS" was registered on February 8, 2011, as a United States Trademark (Registration Number 3,916,748). In the TESS Database, it has serial number 85064211. A copy of the certificate can be seen here. The Reverse side of Certificate of Registration lists requirements that we must fulfill during 2011-2021. See Annual reminders.
"THE ON-LINE ENCYCLOPEDIA OF INTEGER SEQUENCES" was registered on December 20, 2011, as a United States Trademark (Registration Number 4,072,712). In the TESS Database, it has serial number 85064202. A copy of the certificate can be seen here. The Reverse side of Certificate of Registration lists requirements that we must fulfill during 2011-2021. See Annual reminders.
The "Continuing Use" certification of the Trademark "OEIS" was accepted by the United States Patent and Trademark Office on May 25, 2016, and of the Trademark "THE ON-LINE ENCYCLOPEDIA OF INTEGER SEQUENCES" on April 11, 2017. We are very grateful to Merck & Co., Inc., and in particular Denise Maistickle and Nancy Rowe of the Merck Office of General Counsel, working "Pro Bono", who submitted these certifications on behalf of the OEIS Foundation. We also thank Nancy Eberhardt and Kate Marchese of the New Jersey Program of the Pro Bono Partnership for helping to bring this about.
The "Continuing Use" certification of the Trademark "OEIS" was accepted by the United States Patent and Trademark Office on February 20, 2021. This means that the Trademark "OEIS", Registration No. 3916748, has been renewed for ten years. me are very grateful to Merck & Co., Inc., and in particular Kelly Ann Panno and Lisa Jakob of the Merck Office of General Counsel, working "Pro Bono", who submitted these certifications on behalf of the OEIS Foundation. We also thank Christine Michelle Duffy oand Kate Marchese ef the New Jersey Program of the Pro Bono Partnership for helping to bring this about.
Trademark registrations in the US last for 10 years so therefore our trademark renewals for our two existing trademark registrations are not due until Feb 8, 2021 for OEIS and Dec 20, 2021 for THE ON-LINE ENCYCLOPEDIA OF INTEGER SEQUENCES. (Beware of scams that try to tell us they are due for renewal before those dates.)
The annual financial reports for the Foundation will be posted on this web site each Spring.
The Treasurer's Reports for 2010, 2011, 2012, and 2013 were corrected and certified on December 28 2018 by Mark Pollachek, President, Westminster Tax Services.
Treasurer's Report for 2009 IRS Form 990-N for 2009
Treasurer's Report for 2010 IRS Form 990-N for 2010
Treasurer's Report for 2011 IRS Form 990-N for 2011
Treasurer's Report for 2012 IRS Form 990-N for 2012
Treasurer's Report for 2013 IRS Form 990-N for 2013
Treasurer's Report for 2014 IRS Form 990-N for 2014
Treasurer's Report for 2015 IRS Form 990-N for 2015.
Treasurer's Report for 2016 IRS Form 990-N for 2016.
Treasurer's Report for 2017 IRS Form 990-EZ for 2017.
Treasurer's Report for 2018 IRS Form 990-EZ for 2018, 990-EZ(A) for 2018, 990-EZ(B) for 2018.
Treasurer's Report for 2019 IRS Form 990-EZ for 2019, IRS Form 990-EZ(A) for 2019, IRS Form 990-EZ(B) for 2019.
Treasurer's Report for 2020 IRS Form 990-EZ for 2020, IRS Form 990-SA for 2020.
At the Board of Trustees meeting on June 8, 2010, it was unanimously agreed to establish a Fundraising Committee. The goal of the committee is to raise money to support the OEIS Foundation and the On-Line Encyclopedia of Integer Sequences (the OEIS).
In particular, the goals of the Fundraising Committee are, first, to raise funds to to cover the day-to-day expenses of running the OEIS, and, second, to build up a reserve fund to ensure the long-term stability of the OEIS.
The Board of Trustees agreed to adopt the term "Advisor" to refer to people who actively participate in fundraising or make similar contributions to the operation of the OEISF, but aren't necessarily Trustees of the OEIS Foundation or Editors of the OEIS.
Committee members shall be appointed by the President of the OEIS Foundation, and members shall serve for two years, unless reappointed.
The initial committee was formed on August 29, 2010. At the present time (July 2021), the Fundraising Committee consists of Russ Cox (OEIS Foundation President), Charles Greathouse (Chair), Robert Price (OEIS Foundation Treasurer), Neil Sloane (OEIS Foundation Chairman), and Susanna Cuyler (OEIS Foundation Secretary).
Donations to The OEIS Foundation Inc. (tax-deductible in the USA) can be made in three ways:
Robert Roy Price,
Treasurer, The OEIS Foundation Inc.,
2340 Saunders Station Road,
Monroeville, PA 15146 USA
Keep in mind that many corporations have a fund-matching program - they will match your charitable contributions. This is an excellent way to double your donation to the OEIS Foundation!
All donations will be gratefully acknowledged on this page.
The OEIS Foundation's tax identification number or EIN is 30-0562250.
The Simons Foundation
Susanna Stevens Cuyler
Jill Knuth
Robert A Russell
N. J. A. Sloane
Allen Stenger
Jean-François Alcover Amazon Smiles Benevity Fund Benoit Cloitre Donald Craig Emeric Deutsch Sean Dippold (in memory of Natalie R. DelBusso) Paul Duckett Petros Hadjicostas Fred Kline Layman Fund, Fidelity Charitable Art Owen Periodic Videos Ltd Richard Peterson Kade Phillips Jon E. Schoenfield Schwab Charitable Fund The John M. Shapiro Charitable Trust Owain Thomas Doron Zeilberger (in honor of Frank Calegari) Doron Zeilberger (in honor of Michael Wallner for answering a question raised here Doron Zeilberger (in honor of Yuxuan Yang for meeting the many challenges raised here)
The OEIS Foundation Inc. is also grateful to the American Mathematical Society for facilitating our access to MathSciNet in 2021.
Donations received in our 2019 fund-raising drive during the first ten days of January 2020 were included in our 2019 Donors list.
The Simons Foundation
Russ Cox
Susanna Stevens Cuyler
Harvey Dale
Tom Duff
Google Inc.
Hawaii Community Foundation
Fred Kline
Donald and Jill Knuth
N. J. A. Sloane
Allen Stenger
Paul K. and Bonita K. Stockmeyer via the Heartland Charitable Trust
Roland Acra Jean-François Alcover David Applegate and Barbara Chubb David Baugh George Beck Benevity Fund Jerzy Borysowicz Michael Branicky Ray Chandler Stuart Clary Claudio Corbetta Donald Craig David Crookes Robert Dickau Carl Ellis Georg Dr Fischer Daniel Frohardt Olivier GERARD Juan Gil Ely Golden Gregg-Springer Work via Fidelity Charitable Ian Griswold Petros Hadjicostas Paul Henry Thomas Hull S Irvine Aleksandar Janjic Peter Kagey Tamas Kalmarnagy Mikhail Khovanov Clark Kimberling Diane and John Konvalina (thanking Doron Zeilberger) Alex Kulakov Marc LeBrun Henri Lifchitz David Lovler Peter Lu Philip Lucido Robert Macartney Seiichi Manyama Lars Nordgren Kostas Oikonomou Hilarie Orman Valentin Ovsienko Richard Peterson James Rasbold Bernard Schott Gunther Schrack Matthew Schuster Christopher Scussel Scott Shannon Rémy Sigrist Sven Simon Louis Shapiro Daniel Stahlke Richard Stanley Sinan Taifour Technical University of Kosice TehGelly Dirck Uptegrove Vinay Vaishampayan Daniel Vandermast Allan Wechsler Blake White Gregory Whittaker Stephen Wilkus Doron Zeilberger (in honor of Carsten Schneider who met a challenge made here) Doron Zeilberger (in honor of Chaim Even-Zohar who met a challenge made here. Jason Zimba
Pierfrancesco Aiello Gadi Aleksandrowicz Amazon Smiles Peter Anderson Gabriel Apolinario Jade Apomayta Bai Mohammad Azarian Jason Bard Marilena Barnabei Richard Barnes Paul Barry Jeffrey Bauer Bo Bayles Ball Corporation Alvin Belt Marko Berezovsky Bence Bernáth Francois Bienvenu James Bloom Edward Boden Pedro Caceres Jianguo Chen Barry Cherkas Andres Cicuttin Christopher Connett John D'Angelo Malachi de AElfweald Raphael Deknop Marc Donis Ognjen Dragoljevic Jacob Dreiling Carole Dubois Michel Duteil John Erickson Frans Faase Michael Fernandez Mauro Fiorentini Nathan Fox Niamh Girling Darren Golbourn Richard Grafen Ricado Grant Tucker Green Alexander Gross von Trockau Finn Günther Alan Gutzeit Peter-Philipp Hanns Mitchell Harris Brian Hayes Peer Henselmans Enrique Pérez Herrero Deidre Denise House Tom Howell Eric Icaza Ekhine Irurozki Frank M Jackson Dmitri Kamenetsky Viktar Kapelka Maxim Karimov Walter Kehowski John Keith Karl Keller David Knapp Roger M Kolaks Scott Kominers Leonid Kovalev Reinhard Kronberger Wolfdieter Lang Ignacio Larrosa Roger LeMesurier Pavel Leonov Vincenzo Librandi Terry Lindgren Anne MacHale Metron Inc. David Metzler Weston Miller Jack Millist Lloyd Mitchell Sally Moite Bernard Montaron Kent Morrison Stefano Mortola Jason Nicholson Owen O'Shea David Pasino Thomas Poulos Raul Prisacariu Sergey Prokudin Yukhym Pyshnohraiev Christopher Reade Alexander Riasanovsky Adrian Riekert Richard Ripert Rocrof Louis Rogliano Rainer Rosenthal Marc Rosner Luc Rousseau Alexander SamokrutovС Pamela Satterthwaite Thomas Scheuerle Ian Schiffman Brad Scholl Brian M Scott Mark Shekleton Jonathan Skinner SMARTEC S.A.R.L. John Snyder Stefano Spezia Pontus Sundqvist Daniel Suteu David J Sycamore Plamen Tanovski Liam Tarr Tobias Thierer Nico Tripeny uClassify Mark Underwood Tynan Wait Yisong Wang John Weathers Michael Weiner Nicolau Leal Werneck Jochen Ziegenbalg
The OEIS Foundation Inc. is also grateful to the American Mathematical Society for facilitating our access to MathSciNet in 2020.
The Simons Foundation
Anonymous
Benevity Fund (includes several separate donations)
Russ Cox
Susanna Stevens Cuyler
Harvey P. Dale
Tom Duff
Fred Kline
Donald and Jill Knuth
N. J. A. Sloane
Allen Stenger
Diana Wyant
Roland Acra Ian Agol and Michelle McGuinness Jean-François Alcover Lorenzo Sauras Altuzarra Anonymous David Applegate and Barbara Chubb Family Fund Gary Au Peter Bala Vasily Bashilov George Beck Benevity Fund Sara Billey Gerold Br%auml;ndli David Callan Ray Chandler Johann Cigler William Clary Matthew Conroy Claudio Corbetta Donald Craig Geoffrey Critzer Robert Dickau Susan Dickey Patrick Ekman Georg Fischer Daniel Frohardt Olivier GERARD Juri-Stepan Gerasimov Google Matching Fund Keith E. Gorlen Ron Graham Gregg-Springer Work via Fidelity Charitable Petros Hadjicostas Brian Hayes Paul Henry David Hruska Thomas Hull Daniel Kabat Peter Kagey Clark Kimberling Charles Kusniec Marc LeBrun Philip Lucido Seiichi Manyama Peter Mao James McCarron Danilo Merelli Joseph Moser William Muller Francois Oger Laurent Orseau Valentin Ovsienko James Rasbold Jon E. Schoenfield Bernard Schott Christopher Scussel Scott Shannon The John M. Shapiro Charitable Trust Louis Shapiro Rémy Sigrist Sven Simon John Snyder Colin Paul Spears Katherine Stange Richard P. Stanley / Stanley Family Fund / Fidelity Charitable Paul K. and Bonita K. Stockmeyer Symantec Corp. Matching Fund Robert Underwood Elizabeth Uptegrove Vinay Vaishampayan Willy Van den Driessche Tynan Wait Blake White Jesus Maria Yurramendi Mendizabal Celia Zeilberger (in honor of her father's 69th birthday) Doron Zeilberger (in honor of Marcus Michelen who solved a problem posed here)
Amazon Smiles (multiple donations) Matthew Anderson Samuel Anderson Éric Angelini Anonymous Alford Arnold Andrew Austin Arvind Ayyer in honour of Doron Zeilberger's 70th birthday Mohammad K. Azarian Marilena Barnabei Paul Barry Donatien Bénéat Benevity Fund (several separate donations) Emery Berger Bence Bernáth Swapnil Bhatia Jerzy Borysowicz William Bredbenner Sebastien Brisset Moren Brøns-Pedersen Pedro Caceres Andrew James Carr Alexandre Solé Carretero Alexis Chazard Bhadrachalam Chitturi Andres Cicuttin Lieven Clarisse Michael Collins Aldo Conca Ricardo Conceicao John Corbett Gary Croft Ingrid Daubechies Malachi de AElfweald Salvatore Di Guida Matthew Downey Greg Dresden Richard Drexel Abhinandan Dubey Stephen Dunn Silvain Dupertuis Nelano East Cole Ellis John Erickson Richard Farnhammer Mauro Fiorentini Peter Franklin Freeman-Mosher Family Fund Cezar Freitas Darren Golbourn Ricado Grant Dorian Greer Matthew Grimm Alan Gutzeit Hako Mark Hardman Mitchell Harris Robert Harris Kern Hast Kenneth Hawes John Hawkins Victor Hedwig Richard Hensh Paul Hewitt Frank Heyder Daniel Hoyt Nick Hunter-Jones Ioannis Iglezakis Cornel Izbasa Frank M. Jackson William Jackson Sudhir Jha Timothy Johnson D. B. Johnson-Davies V. P. Johnson Dmitri Kamenetsky Walter Kehowski Nitadori Keigo John Keith Al Kelley Sean Kenny Johann Klähn Warren W. Kokko Scott Kominers Marcin Konowalczyk Leonid Kovalev Jacek Kowalski Awani Kumar Michael Kuyumcu Wolfdieter Lang H. Leenman Ken Levasseur Terry Lindgren Hauke Löffler Robert Lyons Richard Mabry Joseph Maddocks Mehrad Mahmoudian Ivan Malopinsky Owen Mann Geoffrey Marnell L. Marshall McCloskey M. D. McIlroy Patrick McNab Euan McQuade Merzon Gregory Lloyd Mitchell Koji Miyazato Jamie Morken Richard Morris Kent Morrison William Muller Manfred Müller-Späth Nicely Done LLC Jeppe Stig Nielsen "None" Stephen Oberholtzer Kyle Ormsby Allyson Orourke-barrett Friedrich Pagenkopf Kaupo Palo John Peponis Xu Ping Ya Raul Prisacariu Chamu Rajasekera Christopher Reade Wendy Reed Laurence Reeves Joseph Rickard Sean Riedel Manda Riehl Rocrof Rainer Rosenthal Martin Round Luc ROUSSEAU Andrey Rukhin Siddhant Saraf Metin Sariyar Lydia Schiff Julius Schmerling Gunther Schrack Andrew Schulman Brian M. Scott Paolo Sentinelli Dmitry Shemetov Geoffrey Shoesmith Nicholas Singer SMARTEC S.A.R.L. Kyle Smith Saul Spatz Samuel Spiro Christopher Stainsby John Stebbins James Stein Ralf Steiner Einar Steingrimsson John Stevens Andreas Stiller Fabian Stroh Daniel Suteu Hal Switkay David James Sycamore Plamen Tanovski Albert ten Oever uClassify Aleksei Udovenko Michael Ulm Mathijs van Meerkerk Stan Wagon Brandon Walker Blake White Wild Egg Pty Ltd Maxime Wybouw XU Pingya Magdalena Zarych Noam Zeilberger
Peter Luschny kindly produced the new banner that appears on every OEIS page.
The OEIS Foundation Inc. is also grateful to the American Mathematical Society for facilitating our access to MathSciNet in 2019.
The Simons Foundation
N. J. A. Sloane
Russ Cox
Susanna Stevens Cuyler
Harvey P. Dale
Tom Duff
Google Matching Fund
Fred Kline
Donald and Jill Knuth
Allen Stenger
Seth A. Troisi
Jean-François Alcover Anonymous (2 donations) David Applegate Peter Bala George Beck Sarah Billey Sean Bloomfield Umberto Cerruti Benjamin Chaffin Ray Chandler Claudio Corbetta Donald Craig Emeric Deutsch (2) Robert Dickau Karl Dilcher REMI EISMANN Roger Entringer Georg Fischer Olivier GERARD Juri-Stepan Gerasimov Mats Granvik Petros Hadjicostas Brian Hayes Paul Henry David Hruska Thomas Hull Intel Matching Fund Karl Javorszky L. Edson Jeffery David Jeschke Peter Kagey Kirill Katsnelson Clark Kimberling Philip Lucido Keith F. Lynch Seiichi Manyama Peter Mao Charles F. Marion Jerry Metzger Microsoft / Benevity Community Impact Fund Cleve Moler Joseph Moser Enrique Navarrete Gordan Palameta Robert Price Klaus PURATH Paul Raff James Rasbold Matthew Roughan Jon E Schoenfield Christopher Scussel Shoichiro Sekiguchi The John M. Shapiro Charitable Trust Louis Shapiro REMY SIGRIST Sven Simon Todd Simpson Paul Stahura Richard P. Stanley / Stanley Family Fund / Fidelity Charitable Paul K. and Bonita K. Stockmeyer Symantec Corp. Mauro Torelli (in memory of Ottavio M. D'Antona) Elizabeth Uptegrove Jutta Wait Doron Zeilberger (in honor of Paul Johnson for answering a question raised here) Doron Zeilberger (in honor of Matthew C. Russell) Doron Zeilberger (in honor of Christopher Ryba for answering a question posed here) Doron Zeilberger (in honor of Will Sawin for answering a question posed here)
Aditya Akula Amazon Smiles (2 contributions) Peter Anderson Alexei Angelides Anonymous Thomas Anton Mohammad K. Azarian Marilena Barnabei Brian Beach Carlo Beenakker David Bell Benevity Fund (5 separate donations) James Bergen FRANCOIS BIENVENU Ethan Bolker Jerzy Borysowicz Robert Bryan Pedro Caceres Xiangyu Cao David Cerna Matthew Charnley Andres Cicuttin William Collier Jordan Combs David Crookes Árni Dagur Matthew Day Malachi de AElfweald Joseph Deutsch Martin Dimov Stephen Dunn Michel DUTEIL John Erickson Jonathan Evanson ROBERT FERREOL Pierandrea Formusa Nathan Fox Freeman-Mosher Family Fund Reza Ghazi Juan Gil Darren Golbourn Richard Grafen Charles Greathouse Merzon Grigory Andreas Grube Rainer Grzybowski Jacob Harder Konrad Harley Mitchell Harris Steven Harvey Peer Henselmans Enrique Pérez Herrero Greg Huber Sergey Ivanov Frank M Jackson Tom Jackson Leandro Junes Thomas Kahle Tamas Kalmarnagy Grace Kamau Amrish Kelkar Tanya Khovanova Steven Kifowit Ronald Kiszlowski James Knapp Shara Lalo Zagros Lalo Wolfdieter Lang Victor Lecomte Samuel Lerma Jack Levy Terry Lindgren Alan Listoe Chris Lombardi Nick MacKinnon Judson McCranie Gerald McGarvey Microsoft Matching Fund Kerry Mitchell Kent Morrison David Nacin Network for Good Nicely Done, LLC David Pasino Andrzej Perlanski Richard Peterson Arun Philip Henry Powell Krijn Reijnders Rocrof Louis ROGLIANO Fabian Röling Sven Ronnback Rainer Rosenthal Anna Roth Luc ROUSSEAU Pierre-Alain Sallard Hermann Schachner Seth Schoen Gunther Schrack Scott Sherard Alexander Sisson Koen Smidt Guo Song Saul Spatz Stefano Spezia Jonathan Stacey Jakub Staron Nicholas Stearns Ralph Steiner Torsten-Karl Strempel Joshua Swanson David J Sycamore Owain Thomas 3Blue1Brown Nicholas Titterton Emidio Torre Patrick Traill Phat Tran Sheldon Trinder Tutoring uClassify Matthew Unterfenger RWC van den Brink Kiryn van Schalkwyk Alexander Vinnikov Sami Yrjänheikki Lucas Vos Russell Walsmith Debora Weber-Wulff Michael Weiner Woomerang Research
The OEIS Foundation Inc. is extremely grateful to all the editors, all unpaid, who spend so many hours processing submissions and improving OEIS entries. They keep the OEIS up-to-date and accurate.
The OEIS Foundation Inc. is also grateful to William Cheswick, Georg Fischer,and others for helping to develop the "OEIS Sequences and Music" exhibit which is to be part of the "La.La.Lab - The Mathematics of Music" exhibition that will open in May 2019 in Heidelberg (Germany).
The OEIS Foundation Inc. is also grateful to the American Mathematical Society for facilitating our access to MathSciNet in 2018.
The Simons Foundation
Susanna Cuyler and N. J. A. Sloane
Anonymous
David Blair
Russ Cox
Harvey P. Dale
Tom Duff
Google and Apple / Benevity Community Impact Fund
Fred Kline
Donald and Jill Knuth
N. J. A. Sloane
Allen Stenger
Jean-François Alcover Anonymous Michael Anshelevich Peter Bala George Beck Christine Bessenrodt Jerzy Borysowicz Johann Cigler Stuart Clary Benoit Cloitre Donald Craig Michael De Vlieger Emeric Deutsch Robert Dickau Ephraim Fredrickson Juri-Stepan Gerasimov Google and Apple / Benevity Community Impact Fund Ron Graham Mats Granvik Matthew Grimm Rainer Grzybowski Brian Hayes Paul Henry David Hruska Thomas Hull P Michael Hutchins Karl Javorszky L. Edson Jeffery Peter Kagey Clark Kimberling Charles Kusniec Jeffrey Lagarias Marc LeBrun Stephen N Lee Peter Luschny Charles F. Marion James McCarron Microsoft / Benevity Community Impact Fund Danilo Merelli Jerry Metzger Todor Mollov Enrique Navarrete Hilarie Orman and Rich Schroeppel James Rasbold Matthew Russell Jon E. Schoenfield Schwab Charitable Fund Sven Simon Richard P. Stanley / Stanley Family Fund / Fidelity Charitable Paul K. and Bonita K. Stockmeyer Elizabeth Uptegrove Vinay Vaishampayan Willy Van Den Driessche Doron Zeilberger (in honor of Valentin Féray and Svante Janson for answering a question raised here)
Amazon Smiles (2) Alexei Angelides Mohammad Azarian Google / Benevity Community Impact Fund Michael Blaguszewski Loren Booda Vincenzo Brancaccio Stephan Brumme Janet Cassidy Rok Cestnik David Chalcraft Bhadrachalam Chitturi Andres Cicuttin William Collier Robert Copeland William J. Davenport Malachi de AElfweald Jose Eduardo Gaboardi de Carvalho Bruce Dearden Radoslav Dimitrov Joseph DiMuro John Dobson Ognjen Dragoljevic Charles Earl Patrick Ekman Christof Ender James L Farrington Egan Ford Nathan Fox Freeman-Mosher Family Fund Samuel Freilich Tad Gallion Juan Gil Darren Golbourn Ely Golden Mitchell Harris Roger Henry Enrique Pérez Herrero Wolfgang Hintze Robert Hunt Robert C. Hutchins Long Huynh Huu Sean Irvine Frank M Jackson Patrick Jennings Thomas Kahle Dan Kalman William Keith Tanya Khovanova Ron Knott Warren W. Kokko Wolfdieter Lang H Leenman Terry Lindgren Philip Lucido Robert Lyons Robert Macartney Byron Matus Sameer Mehra Merzon, Grigory Stephen A. Meskin Eric Metodiev Lloyd Mitchell Kent Morrison David Nacin Jeppe Stig Nielsen Geir Qvist Nordhagen Mircea Cristian Nuca Elena Patyukova Andrzej Perlanski Daniel Polanco Klaus Pommerening Robert Purser Friedrich Regen Samuel Rhoads Fabian Roling Walter Roscello Luc Rousseau Andrey Rukhin Gunther Schrack Brian M Scott Christopher Scussel Schwab Charitable Fund Ulrich Seyfarth Ralf Steiner David J Sycamore Shahryar Tash Skip Tavakkolian Mark Taylor Peter Torelli Tutoring Vatnik, Mikhail Alex Voice Jutta Wait Nicky Walsh Aaron Weiner Mike Weiner Woomerang Research Fung Cheok Yin Ysu Programming Andrei Zavarnicin
The OEIS Foundation Inc. is also grateful to the American Mathematical Society for facilitating our access to MathSciNet in 2017.
AT&T supported the OEIS almost from its beginning, by allowing Neil J. A. Sloane to maintain it from 1969 until his reirement from AT&T in 2012 and to host it on his AT&T Labs home page from 1996 through 2010; and also by allowing David Applegate to contribute his services towards maintaining the operation of the OEIS on Neil J. A. Sloane's web site at AT&T Labs and in its new home from 2010 until David retired from AT&T in 2016.
Renewal of the Trademark "OEIS" was accepted by the United States Patent and Trademark Office on May 25, 2016. We are very grateful to Merck & Co., Inc., and in particular Denise Maistickle and Nancy Rowe of the Merck Office of General Counsel, working "Pro Bono", who renewed the trademark on behalf of the OEIS Foundation. We also thank Nancy Eberhardt and Kate Marchese of the New Jersey Program of the Pro Bono Partnership for helping to bring this about.
In 2016, Russ Cox made a crucial modification to the submissions program, David Applegate set up a defense against the spammers who had been pounding on our site, and David and Russ together handled the migration of the whole OEIS web site to a new platform. These were huge tasks that no one else could have done, and the Foundation is very grateful to them.
The OEIS would not survive without all the editorial work carried out by the volunteer editors. There are many who helped in 2016, especially Jean-François Alcover, Joerg Arndt, Alonso Del Arte, Colin Barker, Bruno Berselli, Harvey P. Dale, Michael De Vlieger, Olivier Gérard, Charles Greathouse, G. C. Greubel, Ilya Gutkovskiy, M. F. Hasler, Hans Havermann, Alois P. Heinz, Wesley Ivan Hurt, Sean A. Irvine, Robert Israel, Antti Kartunen, Vaclav Kotesovec, Wolfdieter Lang, Paolo P. Lava, Peter Luschny, Michel Marcus, Omar Pol, Danny Rorabaugh, Jon E. Schoenfield, Michael Somos, David W. Wilson, Robert G. Wilson v, Chai Wah Wu, plus dozens of others. The OEIS Foundation thanks them all. This editing work is more valuable than any financial contribution.
Anonymous
Russell Cox
Susanna Stevens Cuyler
Thomas Duff
Fred Kline (pledged)
Donald and Jill Knuth
Shyama Mandal (in honor of the mathematicians from the Indian sub-continent — from Aryabhata, Nilakantha, Ramanujan, to my own math teachers).
Eric Rowland
N. J. A. Sloane
Allen Stenger
Jean-François Alcover Moa Apagodu Peter Bala Mira Bernstein John Campbell Benjamin Chaffin Ray Chandler Barbara Chubb Andres Cicuttin Benoit Cloitre Silvio Conte Claudio Corbetta Donald Craig Harvey P. Dale Michael De Vlieger Emeric Deutsch Robert Dickau Carl Ellis Daniel Flegler/Mathematics Leagues Inc Juri-Stepan Gerasimov Gardenia Giacoman The Graham Family Xan Gregg Christopher Gribble Ilya Gutkovskiy Paul Henry Rui Hu/Mathematics Leagues Inc Alexander Hulpke Intel Corp. / Benevity Community Impact Fund Karl Javorszky L. Edson Jeffery Peter Kagey Walter Kehowski Leonid Kovalev Joseph Kung Charles Kusniec Jeffrey Lagarias Pradeep Madhavarapu Charles F. Marion Antonio Roidan Martinez James McCarron Jerry Metzger John Morack Joseph Moser Charles Munger Igor Naverniouk Gionata Neri Dimitri Papadopoulos Jeffrey Remmel Jon E. Schoenfield Richard Schroeppel Richard Schroeppel and Hilarie Orman Brian M Scott Michael Sierchio Sven Simon Cliff Sojourner Richard P. Stanley / Stanley Family Fund / Fidelity Charitable Paul K. and Bonita K. Stockmeyer Robert Underwood Dirck Uptegrove Vinay Vaishampayan Doron Zeilberger (in honor of Jay Pantone for proving a conjecture made here) Doron Zeilberger (in honor of his esteemed colleagues who are retiring: Earl Taft, Richard Wheeden, Joseph Rosenstein, Richard Lyons, Gregory Cherlin, and Steve Ferry) Jason Zimba
Academy of On Elena Ackley Amazon Smiles Nicolas AMELOT Matthew C. Anderson Alexei Angelides David Applegate Joshua Arnold Mohammad Azarian Charles Bowyer Bahadir Canpolat Gary Croft DaviWorks Malachi de AElfweald Jose Eduardo Gaboardi de Carvalho Louis Emery Brook Estifanos James L Farrington Matthew Fisher Joseph Foley Nathan Fox Freeman-Mosher Family Fund Rolf Frischknecht James Gillogly Darren Golbourn Google / Benevity Community Impact Fund Mark Gould Matthew Grimm Jennifer Gutleber Daniel Hamilton Chase Hanson Robert Hartung Greg Huber Frank M Jackson Bobby Jacobs Steve James Mamuka Jibladze David Johnston Kalinochkin, Denis Steven Kifowit Matthew Klein Kenneth A Klinger Oleg Komarov Dietrich König Jeffrey L. Kunkel Wolfdieter Lang Jean-Christophe LAUGIER Terry Lindgren Brooke Logan Robert Lyons Merzon, Grigory Stephen Meskin Timothy G Miles Kerry Mitchell Kent Morrison Liviu Nicolaescu Jacob Niehus Roberto Nobrega Mircea Cristian Nuca Matt Parker Joshua Powell James Rasbold Mary Robitaille Daniel Rothschild Markus Scheuer Schwab Charitable Fund Renan Silva Laurence Simic-Bentley Richard Simmons Seth Troisi Toph Tucker Aleksei Udovenko Willy Van Den Driessche Derek Wood Woomerand Research Oliver Zendel
The OEIS Foundation Inc. is also grateful to the American Mathematical Society for facilitating our access to MathSciNet in 2016.
N. J. A. Sloane
Russell Cox
Thomas Duff
Ron Hardin
Donald and Jill Knuth
Zegar Family Fund
Jean-François Alcover Altug Alkan Armar Archbold Peter Bala Benjamin Chaffin Ray Chandler Donald Craig Paul Curtz Harvey P. Dale Michael Thomas de Vlieger Leo Depuydt Eric Desbiaux Robert Dickau Juri-Stepan Gerasimov Xan Gregg Christopher Gribble Ilya Gutkovskiy Alexandre Halm Paul Henry Klaus Hoffmann L. Edson Jeffery Peter Kagey Peter Klimek Fred Kline Jeffrey Lagarias Charles F. Marion Thomas Morgan Joseph Moser Seppo Mustonen Kival Ngaokrajang Thane Plambeck Richard Schroeppel and Hilarie Orman Brian M Scott Jeffrey Shallit Jon E. Schoenfield Sven Simon N. J. A. Sloane (in honor of Doron Zeilberger for finding a recurrence for A253070) Richard P. Stanley Paul K. and Bonita K. Stockmeyer Jose Tabora Vladimir Tontchev Gregory Whittaker Doron Zeilberger (in honor of Mireille Bousquet-Mélou who came close to meeting a challenge proposed here) Doron Zeilberger (in honor of Scott Garrabrant and Igor Pak for disproving the Noonan-Zeilberger conjecture) Doron Zeilberger (in honor of Ferenc Balogh for completely solving a challenge raised here) Doron Zeilberger (in honor of Shaoshi Chen and Christoph Koutschan for proving the Wilf-Zeilberger conjecture made in 1992) Doron Zeilberger (in honor of Paul Johnson, Marko Thiel, and Nathan Williams for meeting a challenge raised here)
Lokesh Agrawal Amazon Smiles Matt Anderson Stuart Anderson Alexei Angelides Anonymous David Applegate Alford Arnold Mykhaylo Arshynov Mohammad Azarian Donatien Bénéat Praveen Bhamidipati Ton Biegstraaten Valerie Blair Jerzy Borysowicz Boy Scouts of America Venture Crew 78, Benicia, CA Jens Byrnak David Channin Shaoshi Chen (in celebration of 25 years of Wilf-Zeilberger theory) William Clark Bogdan Coanda Jeffrey Cooper Joseph Cooper Nikolas Coukouma Malachi de AElfweald Maurizio De Leo Francesco Di Matteo David P. Durgin Patrick Ekman Frank Farris Pierandrea Formusa CHADDAI FOUCHE Nathan Fox Freeman-Mosher Family Fund Tim Fulford Massimo Galasi Jeremy Gardiner Darren Golbourn António Gonçalves Google / Benevity Community Impact Fund Mats Granvik Merzon Grigory Richard Grossman Thomas Guglielmo Rick Gutleber Jim Heasley Enrique Pérez Herrero Scott Howe Mohsen Hozan Frank M Jackson Jagernot Gustavo Diaz Jerez johnathan79717@gmail.com David Johnston Karl Keller Daniel Krenn Wolfdieter Lang Robert Laszio Stephen N Lee Li Wen-wei Zhe Lu Robert Lyons Antonio Roldan Martinez Brett Menzies Stephen Meskin Donald Mintz Lloyd Mitchell Keshavram Murty Bas Niesink Bryan OGorman James Rasbold Joel Ratnasothy Margaret Readdy Michael Reff Paula Remmel Gimadeev Renat Gerhard Riphagen Ricardo Couso Santamaria Louis Shapiro Charles Smith Michael Stapleton Alan Stokes Xiaoqing Tang Lenny Tevlin Marko Petteri Tuomainen Willy Van den Driessche Nicholas Vasilopoulos Yehuda Yannay Terri Yu Doron Zeilberger (in honor of Ferenc Balogh for making progress on a challenge raised here) Hui Zheng
The OEIS Foundation Inc. is also grateful to the American Mathematical Society for facilitating our access to MathSciNet in 2015.
N. J. A. Sloane
Anonymous (2)
Sara C. Billey
Russ Cox
Donald and Jill Knuth
Jean-François Alcover Anonymous David Applegate Peter Bala Anthony Bartoletti George Beck JM Bergot Ray Chandler William Clark Donald Craig Gary Croft Harvey Dale Michael Thomas de Vlieger Leo Depuydt Emeric Deutsch Robert Dickau Karl Dilcher Mac Fischer Richard Forberg Freeman-Mosher Family Fund Xan Gregg Christopher Gribble Maximilian Hasler Brian Hayes Paul Henry Karl Javorszky Ed Jeffery Clark Kimberling Fred Kline Stephane Legendre Michel Marcus Charles F. Marion James McCarron Jerry Metzger John Morack Kival Ngaokrajang Thane Plambeck Paula Remmel Albert Renshaw Jon E. Schoenfield Richard Schroeppel Brian M Scott Sven Simon Richard P. Stanley Paul K. and Bonita K. Stockmeyer Vinay Vaishampayan Robert G. Wilson, v Doron Zeilberger in honor of Lynn Chua and Krishanu Roy Sankar Doron Zeilberger in honor of Guillaume Chapuy for proving a conjecture made by S. B. Ekhad and D. Zeilberger Doron Zeilberger in honor of Max Ehrman (Yale University) Doron Zeilberger in honor of Matthew Russell for his services to Experimental Mathematics Reinhard Zumkeller
AmazonSmile Foundation Graham Ansell Robin Arthan Mohammad Azarian Jeremy Baker Brian Barrett Paul Barry Stefanus Basson Linda Black Murray Bremner Pierre CAMI Paul Cantrell Shen Chao Benjamin Chung Pantelis Damianou Charles Doncaster David P. Durgin Malachi de AElfweald Lucinda Ebert Patrick Ekman Alejandro Erickson Benjamin Fagin Alexander Fainshtein James L Farrington Charles W P Fearnley Yuval Filmus Nathan Fox Jason Fuemmeler Eric Gottlieb Mats Granvik Sandra J Green Antiques Christopher Herzog Ron Hubbard Mark Hurd Sean Irvine Frank M Jackson David Johnston Leandro Junes Karl Keller Al Kelley Mohammadreza Khalilighazi Tanya Khovanova Ron Knott Oleg Komarov Leonid Kovalev Wolfdieter Lang William Lindgren Peter Lindner Robert Lyons Richard Mabry Robert Macartney Antonio Roldán Martínez Edwin McCravy Michael Mirzayanov Kerry Mitchell Jacques Moussafir Agnar Muntingh Barbara Mutz David Nacin Dmitrii Pasechnik Geof Pawlicki Robert Raines James Rasbold Nicolas Rolin Andrey Rukhin Richard Simmons James Stein Sinan Taifour Tutoring Roland van den Brink Daniel Vandermast Russell Walsmith Jennifer Ward Mike Weiner Susanne Wienand Marsha Woerner
The OEIS Foundation Inc. is also grateful to the American Mathematical Society for facilitating our access to MathSciNet in 2014.
Anonymous
David Scambler
N. J. A. Sloane
Anonymous
Russ Cox
Fred Kline
Jill C Knuth
Tony D. Noe
Jean-François Alcover David Applegate Peter Bala JM Bergot Mira Bernstein Arie Bos Murray Bremner Umberto Cerruti Benjamin Chaffin Ray Chandler Charles K. Cook Donald Craig Gary Croft David Crookes Paul Curtz Harvey Dale Leo Depuydt Emeric Deutsch Robert Dickau Federico Echenique (in honor of Doron Zeilberger) Rémi Eismann Xan Gregg Christopher Gribble Paul Hanna Brian Hayes Alois Heinz Sean Irvine William Keith Clark Kimberling Ron Knott Marc LeBrun Stéphane Legendre Francis Maleval Michel Marcus Charles F. Marion Johannes Meijer Kival Ngaokrajang Omar Evaristo Pol Jeffrey Remmel Steve Roberts Brian N Scott Sven Simon Aksel Soee Ralf Stephan Paul K. and Bonita K. Stockmeyer Timothy Vaughan David Wilson Eric Wolman Doron Zeilberger (on behalf of the many corrections and solutions of challenging problems by students in his class) Doron Zeilberger (in honor of Josh Smith, Rutgers University Math Dept's dedicated computer guru) Reinhard Zumkeller
Mohammad Azarian Michael Behrend Philipp Blume Jonathan Bright Stefano Capparelli Don Cohen Zoa Conner Bruce Dearden Eric Desbiaux Aditya Dhakal David Durgin David Edwards Louis Emery James L Farrington Tim Fulford Jeremy Gardiner Silvio Gnepf Merzon Grigory Rick Gutleber Maryann Haskell Enrique Pérez Herrero Stewart Herring Robert Inventor Frank M Jackson Mamuka Jibladze David Johnston Lucy Ann Jones Michael Kaarhus Alvin Khaled Antti Karttunen Tanya Khovanova Anthony Labarre Wolfdieter Lang Silvio Levy Brian Lewis Makefoil Ebooks Peter Mao Joseph Marasco Jessica Mckellar John Miller Kerry Mitchell David Moews David Nacin Mircea-Cristian Nuca Christian Perfect Boris Putievskiy James Rasbold Rainer Rosenthal Richard Schroeppel David Spies James Stein Robert Tanniru Lenny Tevlin Seth Troisi Mark Underwood Willy Van den Driessche Jeroen van der Burg Russell Walsmith Mike Weiner Thomas Wieder Shi Yong
The OEIS Foundation Inc. is also grateful to the American Mathematical Society for facilitating our access to MathSciNet in 2013.
Joerg Arndt
Neil J. A. Sloane
The American Mathematical Society
Anonymous
Russ Cox
Paul Curtz
Charles R Greathouse IV
Jill Knuth
Tony D. Noe
David Applegate Peter Bala Manuel Blum Benjamin Chaffin Ray Chandler/Dell Giving Benoit Cloitre Donald Craig David Crookes Emeric Deutsch Tom Duff Robert Dickau Rémi Eismann Gardenia Giacoman Google Matching Gifts Program Xan Gregg Claus Johansen Clark Kimberling Michael Kleber Peter Klimek Fred Kline Kenneth Knowlton Jaume Oliver Lafont Charles F. Marion James McCarron John F. Morack Omar Evaristo Pol George Purdy Albert Renshaw Brian M. Scott Richard P. Stanley Vinay Vaishampayan Matthew Vandermast Robert G. Wilson, v Doron Zeilberger Reinhard Zumkeller
Jean-François Alcover Stuart Anderson Mohammad Azarian Ralph Baggett Michael Behrend Lawrence Biroff Matthew Brin Michael Cavers Tyler Curtain Eames Demetrios Dave Durgin Patrick Ekman Yuval Filmus Anant Godbole Enrique Pérez Herrero Frank M. Jackson Loic Jegouzo Vaclav Kotesovec Leonid Kovalev Wolfdieter Lang Robert Lyons Matevz Markovic Antonio Roldán Martínez Lance Menthe John W. Morse Eric Moyer Joan New Kival Ngaokrajang Emily Norton David Penman Tibor Djurica Potpara Robert Price Manda Riehl Rainer Rosenthal Marc Rosner Albert Rossinski Roland Schröder Richard Schroeppel Keith Smith Anatol Tirkel Tan You Tong Patrick Warren Thomas Wieder Wilhelm Wijkander Joshua Zucker
The OEIS Foundation Inc. is also grateful to the American Mathematical Society for facilitating our access to MathSciNet in 2012.
Bruno Berselli
Donald and Jill Knuth
Tony D. Noe
Neil J. A. Sloane
Matt C. Anderson Anonymous Martin Betz Pierre CAMI Ray Chandler Benoit Cloitre Russ Cox David Crookes Paul Curtz Harvey P. Dale Carl de Marcken Dell Giving (Matching Fund) Emeric Deutsch Dan Drake Jeremy Gardiner Olivier GERARD Google Matching Gifts Program Toby Gottfried Xan Gregg Christopher Gribble Alois Heinz Wolfgang Hintze Donovan Johnson Antti Karttunen Clark Kimberling Fred Kline Leonid Kovalev Marc LeBrun Shawn Ligocki Stephen Marak Charles F. Marion Johannes Meijer Will Nicholes Paul Nick Ed Pegg, Jr. Enrique Pérez Herrero Thane Plambeck Omar Pol Bradley Robinson Phil Rutschman Bill Sanford David Scambler Bent Schmidt-Nielsen Brian M. Scott Allen Stenger William D. Tisdale Vinay Vaishampayan David W. Wilson Robert G. Wilson, v Reinhard Zumkeller
Jeremy Albright Jean-François Alcover Gadi Aleksandrowicz Anonymous David L. Applegate Mohammad K. Azarian Gary Baydo Gerard Blais David Brown Marvin Ray Burns Alessandro De Luca Joel Dubiner Theresia Eisenkoelbl Patrick C. Ekman Ruy Fabila Wei Fang Richard Grafen Mats Granvik JoAnne Growney Paul Hanna Stewart Herring Meyer Jacobs Ed Jeffery Sudhir Jha David Russell Johnston Carel Jonkhout Ilmari Karonen William Keith Fred Kline Przemyslaw Kobylanski Mikko Korhonen Vaclav Kotesovec Peter Kosinar Denis Krotov Wolfdieter Lang John W. Layman David Madore Peter Mao William McEachen Lorenz Milla Kerry Mitchell Alejandro Henry Morales Susan Murray David Nacin Philip Newton Tibor Djurica Potpara Andrew Poynter James Raymond Gerhard Riphagen Andrew Rodland Rainer Rosenthal Matthew Samuel Richard Schroeppel Zechao Shang Louis Shapiro Bob Smith Pieter Stadhouders Einar Steingrimsson William Summer Lenny Tevlin Willy Van den Driessche Sjoerd Visscher Al Vilcius Christof Weber Dennis P. Walsh Susanne Wienand Mike Weiner Robin Whitty
The OEIS Foundation Inc. thanks the Elwyn and Jennifer Berlekamp Fund at the East Bay Community Foundation for a very generous grant for General Support, on June 23 2010.
The OEIS Foundation Inc. is grateful to Marc LeBrun for two very generous donations on Nov. 23 2009 and April 7 2010, and to Adobe Systems Inc. for matching his donations.
Anonymous (2) Gary W. Adamson David L. Applegate Mohammad K. Azarian The Elwyn and Jennifer Berlekamp Fund at the East Bay Community Foundation Benoit Cloitre David Crookes Eric Desbiaux Emeric Deutsch Robert Dickau Rémi Eismann Jeremy Gardiner Christopher Gribble Paul Hanna George Hart Dan Kalman Antti Karttunen Reed Kelly Clark Kimberling John Layman Marc LeBrun Kevin McCoy Kerry Mitchell Tony D. Noe Thane Plambeck Christopher Rebert Rich Schroeppel Sven Simon Neil J. A. Sloane Paul K. and Bonita K. Stockmeyer Kent Vander Velden Thomas Wieder
Ray Chandler Jeremy Gardiner Ronald and Fan Graham Christopher Gribble Brian Hayes Marc LeBrun Charles F. Marion Pacha Nambi Tony D. Noe Warut Roonguthai Rainer Rosenthal Neil J. A. Sloane Andrew Weimholt Thomas Wieder Reinhard Zumkeller
The registration forms for the years 2010 onwards were filed on the following dates (the forms themselves can be seen at the top of this page): 2010: 5/6/2011; 2011: 7/9/2012; 2012: 4/12/13; 2013: 3/15/2014; 2014: 4/11/2015; 2015: 5/15/2016; 2016: 12/24/2017; 2017: 5/12/2018; 2018: 8/4/2019; 2019: 12/17/2020.
There are now three posters. They may be downloaded without charge, and make excellent wall decorations.
To celebrate the launching of the OEIS Foundation, Tony Noe made an 8.5-minute movie showing the first 1000 terms of 1000 sequences, with soundtrack from Recaman's sequence A5132. There are four ways to view the movie:
(Incidentally, you can convert the movie to just about any other format at http://www.media-convert.com, without downloading any software).
This page is maintained by Neil J. A. Sloane, Chairman, The OEIS Foundation Inc.
2009: Created on Aug 25, 2009. Update about IRS tax-free status added Sep 17, 2009. Links to poster and key to poster added Oct 1, 2009. Updates about the transfer of IP in OEIS to The OEIS Foundation Inc. added Oct 28, 2009. Press release added Nov 14, 2009. Letter confirming NJ tax-exempt status added Nov 17, 2009. List of donors was begun on Dec 2, 2009. Information about registering as a NJ charity added Dec 8, 2009. Budget for 2009-2010 revised Dec 20, 2009. The bylaws were amended and five governance policies were adopted at the Board of Trustees meeting on Dec 22, 2009.
2010: Information about the license agreements for users of the OEIS Wiki was added Feb 13, 2010. Information about the OEIS movie updated Mar 12 2010. Information about the OEIS Wiki updated Jun 8, 2010. Information about the June 8, 2010 Board of Trustees meeting added Jun 10, 2010 Information about applying for trademarks added Jun 18, 2010. Information about posters revised Jun 26, 2010. Information about Fundraising Committee revised, Aug 29, 2010. Information about the new OEIS added Nov 22, 2010.
2011: Status report on new OEIS added Jan 12 2011 and updated Jan 18 2011. Apr 23, 2011: Added copies of income tax returns (Form 990-N) for 2009 and 2010. Added section about annual reminders. Updated information about trademarks. May 8, 2011: Divided list of donors (for 2011 onwards) into four categories. Added copy of NJ Form CRI-200 for 2010. Dec 3, 2011: Added Press release about reaching 200,000 sequences. Dec 5, 2011: Added dates on which meetings of the Board of Trustees have been held.
2012: Jan 11, 2012: Added information about the approval of the second trademark application. Jan 24, 2012: Minor editorial and formatting changes. Feb 2, 2012: Following a suggestion from Günther Leenaert, reformatted page in css style with assistance from AT&T colleague Farheen Masood. Feb 16, 2012: Financial report for 2011, budget for 2012, new trustees (Greathouse and Munafo). Mar 26, 2012: Added information about 2011 income tax return (Form 990-N). Jul 21, 2012: Added copy of NJ Form CRI-200 for 2011.
2013: Feb 19, 2013: Added financial report for 2012. Feb 25, 2013: Added information about board meeting held Feb 19 2013. Apr 1, 2013: Added information about 2012 income tax return (Form 990-N). Apr 14, 2013: Added copy of NJ Form CRI-200 for 2012. May 7, 2013: Added information about Advisory Board.
2014: Feb 8, 2014: Added financial report for 2013. Feb 15, 2014: Added information about filing Annual Report for 2014 to NJ Division of Revenue. Feb 18, 2014: Added information about board meeting held Feb 18 2014; updated name and address of Treasurer. Mar 16-21, 2014: Added copy of NJ Form CRI-300R and IRS Form 990-N for 2013.
2015: Feb 26, 2015: Added information about Riordan Prize. Mar 27, 2015: Added information about filing Annual Report for 2015 to NJ Division of Revenue. Mar 28, 2015: Added information about 2014 income tax return (Form 990-N). Apr 14, 2015: Added copy of 2014 NJ Form CRI-200 and Treasurer's Report for 2014. Sep 30, 2015: Web page brought up-to-date with latest data about the OEIS. Oct 16, 2015: Added information about annual board meeting held Oct 16 2015 Dec 07, 2015: Updated information about legal documents, mentioned "Terms of Use".
2016: Jan 19, 2016: Added information about filing Annual Report for 2016 to NJ Division of Revenue. Mar 28, 2016: Added information about 2015 Income Tax Return (IRS Form 990_N). May 27, 2016: Added information about successful renewal of "OEIS" Trademark. Jun 10, 2016: Added copy of 2015 NJ Form CRI-300R and Treasurer's Report for 2015. Nov 13, 2016: Added information about board meeting held Nov. 11 2016.
2017: Feb 21, 2017: Added information about 2016 income tax return (Form 990-N). Apr 08, 2017: Added information about filing Annual Report for 2017 to NJ Division of Revenue. May 26, 2017: Added Treasurer's Report for 2016. Dec 02, 2017: Added information about board meeting held Dec 01, 2017. Dec 26, 2017: Added copy of 2016 NJ Form CRI-300R for 2016.
2018: Jan 20, 2018: Added information about filing Annual Report for 2018 to NJ Division of Revenue. Feb 15, 2018: Added new Treasurer. Apr 17, 2018: Added Treasurer's Report for 2017. May 03, 2018: Added information about 2017 income tax return (Form 990-EZ). May 12, 2018: Added copy of 2017 NJ Form CRI-300R for 2017. (This was submitted electronically, but I only have a copy of the paper version.) Dec 29, 2018: Replaced Treasurer's Reports for 2010, 2011, 2012, and 2013 with corrected and certified versions. Added information about board meeting held Dec 07, 2018.
2019: Jan 20, 2019: Added information about filing Annual Report for 2019 to NJ Division of Revenue. Jan 22, 2019: Added Treasurer's Report for 2018. Feb 28, 2019: Added information about 2018 income tax return (Form 990-EZ). Aug 03, 2019: Added information about board meeting held July 07, 2019. Aug 05, 2019: Added copy of 2018 CRI-300R form and receipt.
2020: Jan 27, 2020: Added information about filing Annual Report for 2020 to NJ Division of Revenue. Feb 27, 2020: Added Treasurer's Report for 2019. Mar 04, 2020: Added 2019 Tax Return. Dec 17, 2020: Added copy of 2019 CRI-300R form and receipt.
2021: Jan 08, 2021: Added Treasurer's Report for 2020. Apr 04, 2021: Added 2020 Tax Return. Jun 29, 2021: Announcement: Russ Cox now President; new ByLaws. Jul 07, 2021: Change of Registered Agent Aug 18, 2021: Added donors, added duplicate information about CRI-300 at about line 1123, added duplicate information about 2020 Tax Return at about line 3444.