A291721 Expansion of Product_{k>=1} ((1 + x^(k^3))/(1 - x^(k^3)))^(k^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

Vaclav Kotesovec, Table of n, a(n) for n = 0..10000

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

Cf. A156616, A291666, A291692, A291720.

Sequence in context: A339446 A339166 A359093 * A109913 A197169 A048052

Adjacent sequences: A291718 A291719 A291720 * A291722 A291723 A291724

Keyword

nonn

Author

Vaclav Kotesovec, Aug 30 2017

Status

approved