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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 (list; graph; refs; listen; history; text; internal format)
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: A214079 A202742 A248771 * A109913 A197169 A048052

Adjacent sequences:  A291718 A291719 A291720 * A291722 A291723 A291724

KEYWORD

nonn

AUTHOR

Vaclav Kotesovec, Aug 30 2017

STATUS

approved

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Last modified July 2 15:37 EDT 2020. Contains 335402 sequences. (Running on oeis4.)