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A291655
Expansion of Product_{k>=1} 1/(1-x^(k^2))^(k^2).
6
1, 1, 1, 1, 5, 5, 5, 5, 15, 24, 24, 24, 44, 80, 80, 80, 131, 221, 266, 266, 386, 566, 746, 746, 990, 1474, 1924, 2089, 2529, 3709, 4609, 5269, 6130, 8576, 11096, 12746, 14937, 19397, 25697, 28997, 34111, 43135, 56365, 65905, 76219, 95770, 120070, 144370, 163661
OFFSET
0,5
LINKS
FORMULA
log(a(n)) ~ 5 * Pi^(1/5) * Zeta(5/2)^(2/5) * n^(3/5) / (2^(6/5) * 3^(3/5)).
MATHEMATICA
nmax = 100; CoefficientList[Series[Product[1/(1-x^(k^2))^(k^2), {k, 1, nmax}], {x, 0, nmax}], x]
KEYWORD
nonn
AUTHOR
Vaclav Kotesovec, Aug 28 2017
STATUS
approved