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A004418 Expansion of (Sum_{n=-inf..inf} x^(n^2))^(-17). 1
1, -34, 612, -7752, 77486, -649944, 4751976, -31070016, 185025348, -1017375098, 5220022312, -25201899288, 115265410488, -502210951832, 2094181357968, -8390590348992, 32410328691374, -121046064563376 (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 = 17 for this sequence. - Vaclav Kotesovec, Aug 18 2015

MATHEMATICA

nmax = 30; CoefficientList[Series[Product[((1 + (-x)^k)/(1 - (-x)^k))^17, {k, 1, nmax}], {x, 0, nmax}], x] (* Vaclav Kotesovec, Aug 18 2015 *)

CROSSREFS

Sequence in context: A010986 A232079 A264067 * A322501 A020928 A061689

Adjacent sequences:  A004415 A004416 A004417 * A004419 A004420 A004421

KEYWORD

sign

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified July 11 18:01 EDT 2020. Contains 335652 sequences. (Running on oeis4.)