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 A285462 #8 Apr 19 2017 10:16:19 %S A285462 1,1,4,7,18,32,72,127,257,454,861,1497,2719,4654,8171,13781,23564, %T A285462 39159,65559,107455,176712,286000,463200,740910,1184123,1873656, %U A285462 2959376,4636145,7245680,11246590,17409731,26792371,41114202,62769820,95553779,144803917 %N A285462 Expansion of Product_{k>=1} ((1 + x^(2*k)) / (1 - x^k))^k. %H A285462 Vaclav Kotesovec, <a href="/A285462/b285462.txt">Table of n, a(n) for n = 0..1000</a> %F A285462 a(n) ~ exp(1/12 + 3 * (19*Zeta(3))^(1/3) * n^(2/3) / 4) * (19*Zeta(3))^(7/36) / (A * 2^(7/6) * sqrt(3*Pi) * n^(25/36)), where A is the Glaisher-Kinkelin constant A074962. %t A285462 nmax = 40; CoefficientList[Series[Product[((1+x^(2*k))/(1-x^k))^k, {k, 1, nmax}], {x, 0, nmax}], x] %Y A285462 Cf. A156616, A285447, A285460, A285461. %Y A285462 Cf. A279328. %K A285462 nonn %O A285462 0,3 %A A285462 _Vaclav Kotesovec_, Apr 19 2017