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 A285292 #13 Apr 16 2017 07:09:36 %S A285292 1,1,2,5,4,12,20,29,53,80,127,199,311,468,715,1079,1621,2402,3541, %T A285292 5210,7574,11046,15926,22917,32804,46766,66419,93936,132331,185830, %U A285292 260144,362752,504573,699376,966842,1332721,1832217,2512209,3435932,4687884,6380911 %N A285292 Expansion of Product_{k>=1} (1 + x^k)^k / (1 + x^(4*k))^(4*k). %H A285292 Seiichi Manyama, <a href="/A285292/b285292.txt">Table of n, a(n) for n = 0..10000</a> (terms 0..1000 from Vaclav Kotesovec) %F A285292 a(n) ~ exp(3^(5/3) * Zeta(3)^(1/3) * n^(2/3) / 4) * Zeta(3)^(1/6) / (2^(3/4) * 3^(1/6) * sqrt(Pi) * n^(2/3)). %t A285292 nmax = 50; CoefficientList[Series[Product[(1+x^k)^k/(1+x^(4*k))^(4*k), {k, 1, nmax}], {x, 0, nmax}], x] %Y A285292 Cf. A262736, A262924, A285293. %K A285292 nonn %O A285292 0,3 %A A285292 _Vaclav Kotesovec_, Apr 16 2017