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Revision History for A022608 (Underlined text is an addition; strikethrough text is a deletion.)

Showing entries 1-10 | older changes
A022608 Expansion of Product_{m>=1} (1+q^m)^(-13).
(history; published version)
#12 by Bruno Berselli at Wed Apr 05 09:49:49 EDT 2017
STATUS

proposed

approved

#11 by Seiichi Manyama at Wed Apr 05 09:01:52 EDT 2017
STATUS

editing

proposed

#10 by Seiichi Manyama at Wed Apr 05 09:01:44 EDT 2017
LINKS

Seiichi Manyama, <a href="/A022608/b022608.txt">Table of n, a(n) for n = 0..10000</a>

#9 by Seiichi Manyama at Wed Apr 05 08:47:19 EDT 2017
NAME

Expansion of Product (_{m>=1} (1+q^m)^-)^(-13; m=1..inf.).

AUTHOR

_N. J. A. Sloane_._

#8 by Seiichi Manyama at Wed Apr 05 08:42:19 EDT 2017
FORMULA

a(0) = 1, a(n) = -(13/n)*Sum_{k=1..n} A000593(k)*a(n-k) for n > 0. - Seiichi Manyama, Apr 05 2017

STATUS

approved

editing

#7 by Vaclav Kotesovec at Thu Aug 27 08:00:54 EDT 2015
STATUS

editing

approved

#6 by Vaclav Kotesovec at Thu Aug 27 08:00:50 EDT 2015
FORMULA

a(n) ~ (-1)^n * 13^(1/4) * exp(Pi*sqrt(13*n/6)) / (2^(7/4) * 3^(1/4) * n^(3/4)). - Vaclav Kotesovec, Aug 27 2015

MATHEMATICA

nmax = 50; CoefficientList[Series[Product[1/(1 + x^k)^13, {k, 1, nmax}], {x, 0, nmax}], x] (* Vaclav Kotesovec, Aug 27 2015 *)

STATUS

approved

editing

#5 by Russ Cox at Fri Mar 30 16:46:52 EDT 2012
AUTHOR

_N. J. A. Sloane (njas(AT)research.att.com)._.

Discussion
Fri Mar 30 16:46
OEIS Server: https://oeis.org/edit/global/110
#4 by N. J. A. Sloane at Fri Feb 27 03:00:00 EST 2009
KEYWORD

sign,new

sign

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

#3 by N. J. A. Sloane at Fri May 16 03:00:00 EDT 2003
KEYWORD

sign,done,new

sign

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Last modified August 30 00:57 EDT 2024. Contains 375520 sequences. (Running on oeis4.)