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A004423 Expansion of (Sum x^(n^2), n = -inf .. inf )^(-22). 0
1, -44, 1012, -16192, 202356, -2102936, 18896064, -150747520, 1088265332, -7211641580, 44356933544, -255472920256, 1387689358528, -7151069205016, 35134409940608, -165273439140480, 747047401948276, -3254796172584792 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..17.

FORMULA

a(n) ~ (-1)^n * exp(Pi*sqrt(m*n)) * m^((m+1)/4) / (2^(3*(m+1)/2) * n^((m+3)/4)), set m = 22 for this sequence. - Vaclav Kotesovec, Aug 18 2015

MATHEMATICA

nmax = 30; CoefficientList[Series[Product[((1 + (-x)^k)/(1 - (-x)^k))^22, {k, 1, nmax}], {x, 0, nmax}], x] (* Vaclav Kotesovec, Aug 18 2015 *)

CROSSREFS

Sequence in context: A162182 A162413 A010996 * A238601 A172978 A114170

Adjacent sequences:  A004420 A004421 A004422 * A004424 A004425 A004426

KEYWORD

sign,changed

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified August 29 17:06 EDT 2015. Contains 261198 sequences.