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 A376542 #18 Sep 29 2024 04:36:07 %S A376542 1,1,0,2,1,1,2,0,3,1,4,2,3,3,2,6,2,7,2,8,3,10,6,8,9,8,12,8,16,6,20,8, %T A376542 22,10,24,14,27,20,26,26,25,34,26,42,25,51,26,58,31,66,36,72,43,76,56, %U A376542 82,70,82,86,84,106,87,124,90,145,95,168,102,187,115,206 %N A376542 G.f.: Sum_{k>=0} x^(k^2) * Product_{j=1..k} (1 + x^(2*j))^2. %H A376542 Vaclav Kotesovec, <a href="/A376542/b376542.txt">Table of n, a(n) for n = 0..10000</a> %F A376542 a(n) ~ A369557(n) / 4. %t A376542 nmax=100; CoefficientList[Series[Sum[x^(k^2)*Product[1+x^(2*j), {j, 1, k}]^2, {k, 0, Sqrt[nmax]}], {x, 0, nmax}], x] %Y A376542 Cf. A216222, A306734, A333179, A340647, A369557, A376530. %K A376542 nonn %O A376542 0,4 %A A376542 _Vaclav Kotesovec_, Sep 28 2024