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 A376622 #9 Oct 01 2024 05:12:28
%S A376622 1,0,1,2,3,4,6,8,10,14,18,22,30,38,46,60,74,90,114,138,167,206,248,
%T A376622 298,360,430,511,612,726,854,1014,1192,1396,1644,1918,2236,2610,3032,
%U A376622 3516,4076,4714,5436,6274,7220,8288,9522,10906,12476,14270,16282,18556,21138,24038
%N A376622 G.f.: Sum_{k>=0} x^(k*(k+1)) / Product_{j=1..k} (1 - x^(2*j-1))^2.
%H A376622 Vaclav Kotesovec, <a href="/A376622/b376622.txt">Table of n, a(n) for n = 0..10000</a>
%F A376622 G.f.: Sum_{k>=0} Product_{j=1..k} (x^j/(1 - x^(2*j-1)))^2.
%F A376622 a(n) ~ (5 - sqrt(5)) * exp(Pi*sqrt(2*n/5)) / (8*5^(3/4)*sqrt(n)).
%t A376622 nmax=60; CoefficientList[Series[Sum[x^(k*(k+1))/Product[1-x^(2*j-1), {j, 1, k}]^2, {k, 0, Sqrt[nmax]}], {x, 0, nmax}], x]
%Y A376622 Cf. A376542, A376581, A376624, A376628.
%K A376622 nonn
%O A376622 0,4
%A A376622 _Vaclav Kotesovec_, Sep 30 2024