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 A293389 #14 Oct 09 2017 00:02:56
%S A293389 1,-2,3,-8,15,-24,39,-64,102,-152,225,-336,492,-700,987,-1392,1941,
%T A293389 -2664,3630,-4936,6660,-8896,11817,-15648,20604,-26942,35070,-45512,
%U A293389 58800,-75576,96777,-123568,157206,-199200,251613,-316992,398148,-498460,622356,-775216
%N A293389 Expansion of ((eta(q)eta(q^3))/eta(q^2)^2)^2 in powers of q.
%H A293389 Seiichi Manyama, <a href="/A293389/b293389.txt">Table of n, a(n) for n = 0..10000</a>
%F A293389 G.f.: Product_{k>0} (((1 - x^k)*(1 - x^(3*k)))/(1 - x^(2*k))^2)^2.
%F A293389 a(n) ~ (-1)^n * exp(2*Pi*sqrt(2*n)/3) / (2^(3/4) * 3^(3/2) * n^(3/4)). - _Vaclav Kotesovec_, Oct 08 2017
%t A293389 nmax = 100; CoefficientList[Series[Product[(1 - x^(3*k))^2 / ((1 + x^k)^4 * (1 - x^k)^2), {k, 1, nmax}], {x, 0, nmax}], x] (* _Vaclav Kotesovec_, Oct 08 2017 *)
%Y A293389 Main diagonal of A293388.
%Y A293389 Cf. A293306, A293387.
%K A293389 sign
%O A293389 0,2
%A A293389 _Seiichi Manyama_, Oct 08 2017