OFFSET
0,2
COMMENTS
LINKS
Vaclav Kotesovec, Table of n, a(n) for n = 0..10000
FORMULA
a(n) ~ exp(Pi*sqrt(2*n/3) + 3^(1/4) * zeta(3/2) * n^(1/4) / 2^(3/4) + 6^(1/6) * Gamma(4/3) * zeta(4/3) * n^(1/6) / Pi^(1/3) - 3*zeta(3/2)^2 / (32*Pi)) / (96 * Pi^(3/2) * n^(3/2)) * (1 - Gamma(1/3) * zeta(4/3) * zeta(3/2) / (12 * 6^(1/12) * Pi^(4/3) * n^(1/12))).
MATHEMATICA
nmax = 50; CoefficientList[Series[Product[1/((1-x^k)*(1-x^(k^2))*(1-x^(k^3))), {k, 1, nmax}], {x, 0, nmax}], x]
CROSSREFS
KEYWORD
nonn
AUTHOR
Vaclav Kotesovec, Jan 26 2024
STATUS
approved