OFFSET
0,2
LINKS
Vaclav Kotesovec, Table of n, a(n) for n = 0..5000
FORMULA
a(n) ~ exp(Pi * 2^(7/4) * n^(3/4) / (3*5^(1/4)) + Zeta(3) * sqrt(5*n) / (sqrt(2) * Pi^2) - 5^(5/4) * Zeta(3)^2 * n^(1/4) / (2^(7/4) * Pi^5) + (25 * Zeta(3)^3) / (6*Pi^8) - 3*Zeta(3) / (8*Pi^2) + 1/24) * Pi^(1/24) / (sqrt(A) * 2^(157/96) * 5^(13/96) * n^(61/96)), where A is the Glaisher-Kinkelin constant A074962.
MATHEMATICA
nmax = 30; CoefficientList[Series[Product[1/(1-x^k)^(k*(3*k+1)/2), {k, 1, nmax}], {x, 0, nmax}], x]
CROSSREFS
KEYWORD
nonn
AUTHOR
Vaclav Kotesovec, Nov 06 2017
STATUS
approved