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A291721
Expansion of Product_{k>=1} ((1 + x^(k^3))/(1 - x^(k^3)))^(k^3).
3
1, 2, 2, 2, 2, 2, 2, 2, 18, 34, 34, 34, 34, 34, 34, 34, 162, 290, 290, 290, 290, 290, 290, 290, 978, 1666, 1666, 1720, 1774, 1774, 1774, 1774, 4590, 7406, 7406, 8270, 9134, 9134, 9134, 9134, 18558, 27982, 27982, 34894, 41806, 41806, 41806, 41806, 68814, 95822
OFFSET
0,2
COMMENTS
Convolution of A291692 and A291720.
LINKS
FORMULA
log(a(n)) ~ 7 * ((2^(7/3)-1) * Gamma(1/3) * Zeta(7/3))^(3/7) * n^(4/7) / (2^(12/7) * 3^(9/7)).
MATHEMATICA
nmax = 100; CoefficientList[Series[Product[((1 + x^(k^3))/(1 - x^(k^3)))^(k^3), {k, 1, nmax}], {x, 0, nmax}], x]
CROSSREFS
KEYWORD
nonn
AUTHOR
Vaclav Kotesovec, Aug 30 2017
STATUS
approved