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A291720
Expansion of Product_{k>=1} 1/(1 - x^(k^3))^(k^3).
4
1, 1, 1, 1, 1, 1, 1, 1, 9, 9, 9, 9, 9, 9, 9, 9, 45, 45, 45, 45, 45, 45, 45, 45, 165, 165, 165, 192, 192, 192, 192, 192, 522, 522, 522, 738, 738, 738, 738, 738, 1530, 1530, 1530, 2502, 2502, 2502, 2502, 2502, 4218, 4218, 4218, 7458, 7458, 7458, 7836, 7836
OFFSET
0,9
LINKS
FORMULA
log(a(n)) ~ 7 * (Gamma(1/3) * Zeta(7/3))^(3/7) * n^(4/7) / (2^(8/7) * 3^(9/7)).
MATHEMATICA
nmax = 100; CoefficientList[Series[Product[1/(1 - x^(k^3))^(k^3), {k, 1, nmax}], {x, 0, nmax}], x]
CROSSREFS
KEYWORD
nonn
AUTHOR
Vaclav Kotesovec, Aug 30 2017
STATUS
approved