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Revision History for A000324

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

Showing entries 1-10 | older changes
A000324 A nonlinear recurrence: a(n) = a(n-1)^2 - 4*a(n-1) + 4 (for n>1).
(history; published version)
#44 by Alois P. Heinz at Sun Jul 09 17:49:18 EDT 2017
STATUS

proposed

approved

#43 by Eric Rowland at Sun Jul 09 17:26:11 EDT 2017
STATUS

editing

proposed

#42 by Eric Rowland at Sun Jul 09 17:25:56 EDT 2017
COMMENTS

A000058, A00215A000215, A000289 and this sequence here can be represented as values of polynomials defined via P_0(z)= 1+z, P_{n+1}(z) = z+ prod_{i=0..n} P_i(z), with recurrences P_{n+1}(z) = (P_n(z))^2 -z*P_n(z) +z, n>=0. - Vladimir Shevelev, Dec 08 2010

STATUS

approved

editing

Discussion
Sun Jul 09 17:26
Eric Rowland: Fixed sequence number
#41 by Bruno Berselli at Sun Feb 07 15:13:08 EST 2016
STATUS

proposed

approved

#40 by Michel Marcus at Sun Feb 07 12:52:25 EST 2016
STATUS

editing

proposed

#39 by Michel Marcus at Sun Feb 07 12:51:45 EST 2016
REFERENCES

S. W. Golomb, On certain nonlinear recurring sequences, Amer. Math. Monthly 70 (1963), 403-405.

LINKS

S. W. Golomb, <a href="http://www.jstor.org/stable/2311857">On certain nonlinear recurring sequences</a>, Amer. Math. Monthly 70 (1963), 403-405.

#38 by Michel Marcus at Sun Feb 07 12:50:03 EST 2016
LINKS

R. Mestrovic, <a href="http://arxiv.org/abs/1202.3670">Euclid's theorem on the infinitude of primes: a historical survey of its proofs (300 BC--2012) and another new proof</a>, arXiv preprint arXiv:1202.3670, [math.HO], 2012 - From . - _N. J. A. Sloane, _, Jun 13 2012

STATUS

proposed

editing

#37 by Jean-François Alcover at Sun Feb 07 12:37:02 EST 2016
STATUS

editing

proposed

#36 by Jean-François Alcover at Sun Feb 07 12:36:56 EST 2016
MATHEMATICA

Join[{1}, RecurrenceTable[{a[n] == a[n-1]^2 - 4*a[n-1] + 4, a[1] == 5}, a, {n, 1, 8}]] (* Jean-François Alcover, Feb 07 2016 *)

STATUS

approved

editing

#35 by Charles R Greathouse IV at Mon Oct 20 17:14:39 EDT 2014
LINKS

R. Mestrovic, <a href="http://arxiv.org/abs/1202.3670">Euclid's theorem on the infinitude of primes: a historical survey of its proofs (300 BC--2012) and another new proof</a>, ArxivarXiv preprint arXiv:1202.3670, 2012 - From N. J. A. Sloane, Jun 13 2012

Discussion
Mon Oct 20 17:14
OEIS Server: https://oeis.org/edit/global/2342

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Last modified November 8 22:45 EST 2017. Contains 294414 sequences.