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 A285459 #8 Apr 19 2017 09:43:27
%S A285459 1,1,2,5,8,17,29,51,88,150,254,416,682,1102,1765,2810,4415,6897,10704,
%T A285459 16482,25251,38410,58120,87480,130999,195253,289612,427757,629128,
%U A285459 921590,1344904,1955246,2832608,4089696,5885169,8442269,12073072,17214535,24475417
%N A285459 Expansion of Product_{k>=1} ((1 + x^k) / (1 - x^(5*k)))^k.
%C A285459 In general, if m >= 1 and g.f. = Product_{k>=1} ((1 + x^k) / (1 - x^(m*k)))^k, then a(n, m) ~ exp(1/12 + 3 * 2^(-4/3) * (3 + 4/m^2)^(1/3) * Zeta(3)^(1/3) * n^(2/3)) * (3 + 4/m^2)^(7/36) * m^(1/12) * Zeta(3)^(7/36) / (A * 2^(7/9) * sqrt(3*Pi) * n^(25/36)), where A is the Glaisher-Kinkelin constant A074962.
%H A285459 Vaclav Kotesovec, <a href="/A285459/b285459.txt">Table of n, a(n) for n = 0..1000</a>
%F A285459 a(n) ~ exp(1/12 + 3 * 2^(-4/3) * 5^(-2/3) * (79*Zeta(3))^(1/3) * n^(2/3)) * (79*Zeta(3))^(7/36) / (A * 2^(7/9) * 5^(11/36) * sqrt(3*Pi) * n^(25/36)), where A is the Glaisher-Kinkelin constant A074962.
%t A285459 nmax = 40; CoefficientList[Series[Product[((1+x^k)/(1-x^(5*k)))^k, {k, 1, nmax}], {x, 0, nmax}], x]
%Y A285459 Cf. A156616 (m=1), A000219 (m=2), A285446 (m=3), A285458 (m=4).
%K A285459 nonn
%O A285459 0,3
%A A285459 _Vaclav Kotesovec_, Apr 19 2017