OFFSET
0,2
LINKS
Vaclav Kotesovec, Table of n, a(n) for n = 0..2000
Vaclav Kotesovec, A method of finding the asymptotics of q-series based on the convolution of generating functions, arXiv:1509.08708 [math.CO], Sep 30 2015
FORMULA
a(n) ~ exp(3^(4/3) * Zeta(3)^(1/3) * n^(2/3) / 2^(4/3) + Pi^2 * n^(1/3)/(2^(2/3) * 3^(4/3) * Zeta(3)^(1/3)) - Pi^4 / (324*Zeta(3))) * Zeta(3)^(1/3) / (2^(17/12) * 3^(1/6) * Pi * n^(5/6)).
MATHEMATICA
nmax = 40; CoefficientList[Series[Product[(1+x^k)^k/(1-x^k), {k, 1, nmax}], {x, 0, nmax}], x]
CROSSREFS
KEYWORD
nonn
AUTHOR
Vaclav Kotesovec, Oct 03 2015
STATUS
approved