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 A346454 #8 Jul 20 2021 03:43:31 %S A346454 1,2,48,2592,223232,31125000,6446926080,1892514990688,749710432272384, %T A346454 385769883231774522,249932498200000000000,198950665850610546765024, %U A346454 190770235699567102280073216,216806274426828873068796386600,288094786833316639387122903613440 %N A346454 a(n) = [x^n] Product_{k>=1} (1 + n^(k+1)*x^k) / (1 - n^(k+1)*x^k). %F A346454 a(n) ~ 2 * n^(2*n). %t A346454 Table[SeriesCoefficient[Product[(1 + n^(k + 1)*x^k)/(1 - n^(k + 1)*x^k), {k, 1, n}], {x, 0, n}], {n, 0, 20}] %t A346454 Table[SeriesCoefficient[2*x + ((1 - n)*QPochhammer[-n, n*x, 1 + n]) / ((1 + n)*QPochhammer[n, n*x, 1 + n]), {x, 0, n}], {n, 0, 20}] %Y A346454 Cf. A344094, A344095, A346452. %K A346454 nonn %O A346454 0,2 %A A346454 _Vaclav Kotesovec_, Jul 19 2021