OFFSET
0,2
COMMENTS
In general, for k > 0, if g.f. = Product_{m>=1} 1/(1+q^m)^k, then a(n) ~ (-1)^n * exp(Pi*sqrt(k*n/6)) * k^(1/4) / (2^(7/4) * 3^(1/4) * n^(3/4)). - Vaclav Kotesovec, Aug 27 2015
LINKS
Seiichi Manyama, Table of n, a(n) for n = 0..1000
FORMULA
a(n) ~ (-1)^n * exp(4*Pi*sqrt(n/3)) / (sqrt(2) * 3^(1/4) * n^(3/4)). - Vaclav Kotesovec, Aug 27 2015
MATHEMATICA
nmax = 50; CoefficientList[Series[Product[1/(1 + x^k)^32, {k, 1, nmax}], {x, 0, nmax}], x] (* Vaclav Kotesovec, Aug 27 2015 *)
CROSSREFS
KEYWORD
sign
AUTHOR
STATUS
approved