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A022618 Expansion of Product_{m>=1} (1+q^m)^(-23). 2
1, -23, 253, -1794, 9384, -39491, 142462, -460483, 1370041, -3810479, 10013533, -25082512, 60303171, -139870107, 314254704, -686285914, 1461009887, -3039222369, 6190256915, -12366732828, 24269855093 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..10000

FORMULA

a(n) ~ (-1)^n * 23^(1/4) * exp(Pi*sqrt(23*n/6)) / (2^(7/4) * 3^(1/4) * n^(3/4)). - Vaclav Kotesovec, Aug 27 2015

a(0) = 1, a(n) = -(23/n)*Sum_{k=1..n} A000593(k)*a(n-k) for n > 0. - Seiichi Manyama, Apr 05 2017

MATHEMATICA

nmax = 50; CoefficientList[Series[Product[1/(1 + x^k)^23, {k, 1, nmax}], {x, 0, nmax}], x] (* Vaclav Kotesovec, Aug 27 2015 *)

CROSSREFS

Sequence in context: A034777 A047648 A010939 * A042018 A125411 A140620

Adjacent sequences:  A022615 A022616 A022617 * A022619 A022620 A022621

KEYWORD

sign

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified March 23 02:49 EDT 2019. Contains 321422 sequences. (Running on oeis4.)