|
|
A004419
|
|
Expansion of (Sum_{n=-inf..inf} x^(n^2))^(-18).
|
|
1
|
|
|
1, -36, 684, -9120, 95724, -841320, 6433248, -43918272, 272670444, -1561033348, 8329222584, -41772509280, 198265106400, -895619289384, 3868763174208, -16044584545344, 64103055405804, -247461482137032
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,2
|
|
LINKS
|
|
|
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 = 18 for this sequence. - Vaclav Kotesovec, Aug 18 2015
|
|
MATHEMATICA
|
nmax = 30; CoefficientList[Series[Product[((1 + (-x)^k)/(1 - (-x)^k))^18, {k, 1, nmax}], {x, 0, nmax}], x] (* Vaclav Kotesovec, Aug 18 2015 *)
|
|
CROSSREFS
|
|
|
KEYWORD
|
sign
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|