|
|
A022610
|
|
Expansion of Product_{m>=1} (1+q^m)^(-15).
|
|
3
|
|
|
1, -15, 105, -470, 1590, -4593, 12160, -30075, 69780, -153750, 325728, -667020, 1323915, -2557140, 4824630, -8912759, 16148505, -28746945, 50364835, -86956260, 148098384, -249060745, 413975085, -680602545
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,2
|
|
COMMENTS
|
|
|
LINKS
|
|
|
FORMULA
|
a(n) ~ (-1)^n * 5^(1/4) * exp(Pi*sqrt(5*n/2)) / (2^(7/4) * n^(3/4)). - Vaclav Kotesovec, Aug 27 2015
|
|
MATHEMATICA
|
nmax = 50; CoefficientList[Series[Product[1/(1 + x^k)^15, {k, 1, nmax}], {x, 0, nmax}], x] (* Vaclav Kotesovec, Aug 27 2015 *)
|
|
CROSSREFS
|
|
|
KEYWORD
|
sign
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|