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 A293629 #13 Oct 15 2017 05:34:39
%S A293629 1,4,16,44,122,288,672,1432,3005,5960,11632,21836,40376,72568,128640,
%T A293629 223112,382192,643404,1071152,1757968,2856482,4586000,7296768,
%U A293629 11490912,17949404,27787684,42702576,65106188,98599604,148274760,221611776,329127848,486057756
%N A293629 Expansion of Product_{k>0} ((1 - q^(3*k))^4*(1 - q^(6*k))^2)/((1 - q^k)^4*(1 - q^(2*k))^2).
%H A293629 Seiichi Manyama, <a href="/A293629/b293629.txt">Table of n, a(n) for n = 0..10000</a>
%F A293629 a(n) = (1/3) * A293569(3*n+2).
%F A293629 a(n) ~ 5^(1/4) * exp(2*Pi*sqrt(5*n)/3) / (2 * 3^(14/4)* n^(3/4)). - _Vaclav Kotesovec_, Oct 15 2017
%t A293629 nmax = 50; CoefficientList[Series[Product[(1-x^(3*k))^4 * (1-x^(6*k))^2 / ((1-x^k)^4 * (1-x^(2*k))^2), {k, 1, nmax}], {x, 0, nmax}], x] (* _Vaclav Kotesovec_, Oct 15 2017 *)
%Y A293629 Cf. A293426, A293628.
%Y A293629 Cf. A293569.
%K A293629 nonn
%O A293629 0,2
%A A293629 _Seiichi Manyama_, Oct 13 2017