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a(n) ~ exp(Pi*sqrt(Zeta(3)*n/3) + (2^(1/3)-1) * Pi^(-1/3) * Gamma(4/3) * Zeta(4/3) * Zeta(1/3) * (3*n/Zeta(3))^(1/6)) * Zeta(3)^(1/4) / (2^(5/4) * 3^(1/4) * n^(3/4)).
Vaclav Kotesovec, <a href="/A280663/b280663.txt">Table of n, a(n) for n = 0..10000</a>
allocated for Vaclav Kotesovec
G.f.: Product_{k>=1, j>=1} (1 + x^(j*k^3)).
1, 1, 1, 2, 2, 3, 4, 5, 7, 9, 11, 14, 17, 21, 26, 32, 39, 47, 57, 68, 81, 97, 115, 136, 162, 190, 223, 263, 306, 357, 417, 483, 561, 650, 750, 866, 997, 1145, 1315, 1507, 1725, 1971, 2250, 2564, 2917, 3318, 3766, 4270, 4840, 5475, 6188, 6990, 7881, 8881
0,4
nmax = 100; CoefficientList[Series[Product[1+x^(j*k^3), {k, 1, Floor[nmax^(1/3)]+1}, {j, 1, Floor[nmax/k^3]+1}], {x, 0, nmax}], x]
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nonn
Vaclav Kotesovec, Jan 07 2017
approved
editing
allocated for Vaclav Kotesovec
allocated
approved