cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A326756 E.g.f.: Product_{k>=1} 1/(1 - x^(3*k-2)/(3*k-2)).

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%I A326756 #11 Jul 24 2019 06:48:18
%S A326756 1,1,2,6,30,150,900,7020,58680,528120,5644080,63510480,769610160,
%T A326756 10483933680,150733677600,2272680828000,37752297264000,
%U A326756 653710445308800,11839468023187200,231623795388268800,4723930089495302400,99779582243860358400,2249431677071465356800
%N A326756 E.g.f.: Product_{k>=1} 1/(1 - x^(3*k-2)/(3*k-2)).
%H A326756 Vaclav Kotesovec, <a href="/A326756/b326756.txt">Table of n, a(n) for n = 0..447</a>
%H A326756 D. H. Lehmer, <a href="http://matwbn.icm.edu.pl/ksiazki/aa/aa21/aa21123.pdf">On reciprocally weighted partitions</a>, Acta Arithmetica XXI (1972), 379-388 (Theorem 7).
%F A326756 a(n) ~ 3^(5/3) * exp(-gamma/3) * n^(1/3) * n! / Gamma(1/3)^2, where gamma is the Euler-Mascheroni constant A001620 and Gamma() is the Gamma function [Lehmer, 1972]. - _Vaclav Kotesovec_, Jul 23 2019
%t A326756 nmax = 25; CoefficientList[Series[1/Product[(1-x^(3*k-2)/(3*k-2)), {k, 1, Floor[nmax/3] + 1}], {x, 0, nmax}], x] * Range[0, nmax]!
%Y A326756 Cf. A007841, A294506, A309319, A326755.
%K A326756 nonn
%O A326756 0,3
%A A326756 _Vaclav Kotesovec_, Jul 23 2019