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A004424 Expansion of (Sum_{n=-inf..inf} x^(n^2))^(-23). 1
1, -46, 1104, -18400, 239154, -2581152, 24056160, -198823040, 1485433104, -10177345486, 64663512288, -384402300960, 2153523131040, -11437761254432, 57880610587200, -280265903825280, 1303272560982834, -5838468742907712 (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 * exp(Pi*sqrt(m*n)) * m^((m+1)/4) / (2^(3*(m+1)/2) * n^((m+3)/4)), set m = 23 for this sequence. - Vaclav Kotesovec, Aug 18 2015

MATHEMATICA

nmax = 30; CoefficientList[Series[Product[((1 + (-x)^k)/(1 - (-x)^k))^23, {k, 1, nmax}], {x, 0, nmax}], x] (* Vaclav Kotesovec, Aug 18 2015 *)

CROSSREFS

Sequence in context: A162186 A162452 A010998 * A258464 A320552 A211835

Adjacent sequences:  A004421 A004422 A004423 * A004425 A004426 A004427

KEYWORD

sign

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified June 4 11:32 EDT 2020. Contains 334825 sequences. (Running on oeis4.)