OFFSET
0,2
LINKS
Robert Israel, Table of n, a(n) for n = 0..5000
FORMULA
a(n) ~ exp(4*Pi*n^(3/4) / (3*5^(1/4)) + 2*Zeta(3) * sqrt(5*n) / Pi^2 - 2*5^(5/4) * Zeta(3)^2 * n^(1/4) / Pi^5 + 200*Zeta(3)^3 / (3*Pi^8) - 3*Zeta(3) / (4*Pi^2) + 1/6) * Pi^(1/6) / (A^2 * 2^(3/2) * 5^(1/6) * n^(2/3)), where A is the Glaisher-Kinkelin constant A074962.
MAPLE
N:= 50:
S:= series(mul(1/(1-x^k)^(k*(3*k+2)), k=1..N), x, N+1):
seq(coeff(S, x, n), n=0..N); # Robert Israel, Nov 07 2017
MATHEMATICA
nmax = 30; CoefficientList[Series[Product[1/(1-x^k)^(k*(3*k+2)), {k, 1, nmax}], {x, 0, nmax}], x]
CROSSREFS
KEYWORD
nonn
AUTHOR
Vaclav Kotesovec, Nov 07 2017
STATUS
approved