OFFSET
0,4
LINKS
Vaclav Kotesovec, Table of n, a(n) for n = 0..5000
FORMULA
a(n) ~ exp(Pi * 2^(5/4) / (3*5^(1/4)) * n^(3/4) + Zeta(3) * sqrt(5*n) / (Pi^2 * sqrt(2)) - (5*Zeta(3)^2 / (2*Pi^5) + Pi/24) * (5*n/2)^(1/4) + 25*Zeta(3)^3 / (3*Pi^8) + 2*Zeta(3) / (3*Pi^2) - 1/24) * sqrt(A) / (2^(173/96) * 5^(11/96) * Pi^(1/24) * n^(59/96)), where A is the Glaisher-Kinkelin constant A074962.
MATHEMATICA
nmax = 40; CoefficientList[Series[Product[1/(1-x^(2*k-1))^(k*(3*k-2)), {k, 1, nmax}], {x, 0, nmax}], x]
CROSSREFS
KEYWORD
nonn
AUTHOR
Vaclav Kotesovec, Nov 07 2017
STATUS
approved