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A282921 Expansion of Product_{n>=1} (1 - x^(7*n))^12/(1 - x^n)^13 in powers of x. 2
1, 13, 104, 637, 3276, 14820, 60697, 229360, 810498, 2705118, 8592857, 26134654, 76476816, 216174700, 592220696, 1576826355, 4090222409, 10357895639, 25653139694, 62235901689, 148108568986, 346176981673, 795569268689, 1799508071426, 4009753651904, 8808973137510 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..1000

FORMULA

G.f.: Product_{n>=1} (1 - x^(7*n))^12/(1 - x^n)^13.

a(n) ~ exp(Pi*sqrt(158*n/21)) * sqrt(79) / (4*sqrt(3) * 7^(13/2) * n). - Vaclav Kotesovec, Nov 10 2017

MATHEMATICA

nmax = 30; CoefficientList[Series[Product[(1 - x^(7*k))^12/(1 - x^k)^13, {k, 1, nmax}], {x, 0, nmax}], x] (* Vaclav Kotesovec, Nov 10 2017 *)

CROSSREFS

Cf. A282919.

Sequence in context: A129762 A283121 A278555 * A023011 A022641 A000590

Adjacent sequences:  A282918 A282919 A282920 * A282922 A282923 A282924

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Feb 24 2017

STATUS

approved

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Last modified November 12 12:43 EST 2018. Contains 317109 sequences. (Running on oeis4.)