login
A266942
Expansion of Product_{k>=1} ((1 + k*x^k) / (1 - k*x^k))^k.
4
1, 2, 10, 36, 118, 376, 1156, 3392, 9734, 27230, 74256, 198724, 522292, 1348968, 3432824, 8613856, 21330374, 52190692, 126262774, 302222388, 716247128, 1681575344, 3912919956, 9028823856, 20667406276, 46949343786, 105881451120, 237135574392, 527580701456
OFFSET
0,2
LINKS
FORMULA
From Vaclav Kotesovec, Jan 08 2016: (Start)
a(n) ~ c * n^2 * 3^(n/3), where
c = 1122422673446372185062691708933615715850.583956830118389527... if mod(n,3)=0
c = 1122422673446372185062691708933615715849.484130848291097773... if mod(n,3)=1
c = 1122422673446372185062691708933615715849.782119252925454917... if mod(n,3)=2
(End)
MATHEMATICA
nmax = 40; CoefficientList[Series[Product[((1+k*x^k)/(1-k*x^k))^k, {k, 1, nmax}], {x, 0, nmax}], x]
CROSSREFS
KEYWORD
nonn
AUTHOR
Vaclav Kotesovec, Jan 06 2016
STATUS
approved