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Revision History for A087153

(Underlined text is an addition; strikethrough text is a deletion.)

Showing entries 1-10 | older changes
A087153 Number of partitions of n into nonsquares.
(history; published version)
#42 by Vaclav Kotesovec at Fri Dec 30 12:20:26 EST 2016
STATUS

editing

approved

#41 by Vaclav Kotesovec at Fri Dec 30 12:20:19 EST 2016
COMMENTS

Convolution of A276516 and A000041. - Vaclav Kotesovec, Dec 30 2016

CROSSREFS

Cf. A115584, A172151, A225044, A264393, A276516.

STATUS

approved

editing

#40 by OEIS Server at Fri Dec 30 09:50:08 EST 2016
LINKS

T. D. Noe and Vaclav Kotesovec, <a href="/A087153/b087153_1.txt">Table of n, a(n) for n = 0..10000</a> (terms 0..1000 from T. D. Noe)

#39 by Vaclav Kotesovec at Fri Dec 30 09:50:08 EST 2016
STATUS

editing

approved

Discussion
Fri Dec 30 09:50
OEIS Server: Installed new b-file as b087153.txt.  Old b-file is now b087153_1.txt.
#38 by Vaclav Kotesovec at Fri Dec 30 07:40:01 EST 2016
CROSSREFS

Cf. A115584, A172151, A225044, A264393.

#37 by Vaclav Kotesovec at Fri Dec 30 07:20:07 EST 2016
FORMULA

a(n) ~ exp(Pi*sqrt(2*n/3) - 3^(1/4) * Zeta(3/2) * n^(1/4) / 2^(3/4) - 3*Zeta(3/2)^2/(32*Pi)) * sqrt(Pi) / (2^(3/4) * 3^(1/4) * n^(3/4)). - Vaclav Kotesovec, Dec 30 2016

#36 by Vaclav Kotesovec at Fri Dec 30 05:17:04 EST 2016
LINKS

T. D. Noe and Vaclav Kotesovec, <a href="/A087153/b087153_1.txt">Table of n, a(n) for n = 0..100010000</a>> (terms 0..1000 from T. D. Noe)

#35 by Vaclav Kotesovec at Thu Dec 29 17:22:02 EST 2016
MATHEMATICA

nmax = 100; CoefficientList[Series[Product[(1 - x^(k^2))/(1 - x^k), {k, 1, nmax}], {x, 0, nmax}], x] (* Vaclav Kotesovec, Dec 29 2016 *)

STATUS

approved

editing

#34 by Charles R Greathouse IV at Sun Aug 28 03:02:07 EDT 2016
STATUS

editing

approved

#33 by Charles R Greathouse IV at Sun Aug 28 03:02:03 EDT 2016
PROG

(PARI) first(n)=my(x='x+O('x^(n+1))); Vec(prod(m=1, sqrtint(n), (1-x^m^2)/(1-x^m))*prod(m=sqrtint(n)+1, n, 1/(1-x^m))) \\ Charles R Greathouse IV, Aug 28 2016

CROSSREFS

Cf. A115584, A172151, A225044.

Cf. A225044.

STATUS

approved

editing

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Last modified November 9 03:34 EST 2017. Contains 294414 sequences.