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 A376581 #7 Sep 29 2024 07:54:58
%S A376581 1,1,2,3,5,7,9,13,17,22,30,38,48,62,78,97,122,151,184,228,278,335,408,
%T A376581 491,588,707,843,1000,1189,1407,1658,1955,2295,2686,3145,3670,4270,
%U A376581 4968,5763,6671,7720,8909,10263,11816,13577,15574,17850,20424,23333,26638,30365
%N A376581 G.f.: Sum_{k>=0} x^(k^2) / Product_{j=1..k} (1 - x^(2*j-1))^2.
%H A376581 Vaclav Kotesovec, <a href="/A376581/b376581.txt">Table of n, a(n) for n = 0..10000</a>
%F A376581 a(n) ~ exp(Pi*sqrt(2*n/5)) / (4*5^(1/4)*sqrt(n)).
%t A376581 nmax=100; CoefficientList[Series[Sum[x^(k^2)/Product[1-x^(2*j-1), {j, 1, k}]^2, {k, 0, Sqrt[nmax]}], {x, 0, nmax}], x]
%Y A376581 Cf. A053264, A306734, A340647, A376542, A376580.
%K A376581 nonn
%O A376581 0,3
%A A376581 _Vaclav Kotesovec_, Sep 29 2024