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.
%I A326857 #7 Jul 28 2019 12:45:47 %S A326857 1,0,1,0,0,24,0,504,5040,0,226800,3628800,0,438721920,6227020800, %T A326857 16345929600,1127656857600,20922789888000,58203397324800, %U A326857 6697914906009600,121645100408832000,655224745383936000,51359276952023040000,1124000727777607680000 %N A326857 E.g.f.: Product_{k>=1} (1 + x^(3*k-1) / (3*k-1)). %H A326857 Vaclav Kotesovec, <a href="/A326857/b326857.txt">Table of n, a(n) for n = 0..440</a> %H A326857 Vaclav Kotesovec, <a href="/A326857/a326857.jpg">Graph - the asymptotic ratio (30000 terms)</a> %F A326857 a(n) ~ 2 * Pi * n! / (exp(gamma/3) * 3^(5/6) * Gamma(1/3)^2 * n^(2/3)), where gamma is the Euler-Mascheroni constant A001620 and Gamma() is the Gamma function. %t A326857 nmax = 30; CoefficientList[Series[Product[(1+x^(3*k-1)/(3*k-1)), {k, 1, Floor[nmax/3]+1}], {x, 0, nmax}], x] * Range[0, nmax]! %Y A326857 Cf. A007838, A088994, A326755, A326858. %K A326857 nonn %O A326857 0,6 %A A326857 _Vaclav Kotesovec_, Jul 27 2019