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 A285458 #9 Apr 19 2017 10:33:12 %S A285458 1,1,2,5,9,17,30,54,94,161,269,449,740,1200,1930,3083,4877,7650,11919, %T A285458 18444,28363,43341,65848,99523,149654,223901,333448,494427,729996, %U A285458 1073408,1572264,2294389,3336191,4834261,6981727,10050944,14424665,20639641,29447118 %N A285458 Expansion of Product_{k>=1} ((1 + x^k) / (1 - x^(4*k)))^k. %H A285458 Vaclav Kotesovec, <a href="/A285458/b285458.txt">Table of n, a(n) for n = 0..1000</a> %F A285458 a(n) ~ exp(1/12 + 3 * (13*Zeta(3))^(1/3) * n^(2/3) / 4) * (13*Zeta(3))^(7/36) / (2 * A * sqrt(3*Pi) * n^(25/36)), where A is the Glaisher-Kinkelin constant A074962. %t A285458 nmax = 40; CoefficientList[Series[Product[((1+x^k)/(1-x^(4*k)))^k, {k, 1, nmax}], {x, 0, nmax}], x] %Y A285458 Cf. A015128, A000041, A285445, A006950. %Y A285458 Cf. A156616, A000219, A285446, A285459. %K A285458 nonn %O A285458 0,3 %A A285458 _Vaclav Kotesovec_, Apr 19 2017