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 A265839 Expansion of Product_{k>=1} 1/(1 - k^5*x^k). 5
 1, 1, 33, 276, 2324, 13225, 145586, 760057, 6836328, 45996924, 322816122, 2064921330, 16881567137, 96217644312, 708147553326, 4769313137735, 31412238427954, 198869428043476, 1442034056253438, 8596120396405880, 58954590481229064, 387170921610808720 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Vaclav Kotesovec, Table of n, a(n) for n = 0..1240 FORMULA a(n) ~ c * 3^(5*n/3), where c = 12.8519823810391431573687005461910113782018563173082562291... if n mod 3 = 0 c = 12.4535903496941652158697054030067622653283880393322526099... if n mod 3 = 1 c = 12.5138855694494734654940524026530463555984202132997900068... if n mod 3 = 2. G.f.: exp(Sum_{k>=1} Sum_{j>=1} j^(5*k)*x^(j*k)/k). - Ilya Gutkovskiy, Jun 14 2018 MATHEMATICA nmax = 40; CoefficientList[Series[Product[1/(1 - k^5*x^k), {k, 1, nmax}], {x, 0, nmax}], x] CROSSREFS Cf. A006906, A077335, A265837, A265838, A265842. Column k=5 of A292193. Sequence in context: A179995 A000539 A023874 * A257450 A301549 A020291 Adjacent sequences: A265836 A265837 A265838 * A265840 A265841 A265842 KEYWORD nonn AUTHOR Vaclav Kotesovec, Dec 16 2015 STATUS approved

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Last modified July 14 16:15 EDT 2024. Contains 374322 sequences. (Running on oeis4.)