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 A376852 #9 Oct 08 2024 05:20:00 %S A376852 1,0,1,4,8,12,17,24,36,56,88,136,205,300,428,600,828,1132,1540,2084, %T A376852 2813,3788,5080,6788,9032,11952,15736,20612,26852,34812,44929,57732, %U A376852 73900,94268,119852,151932,192072,242172,304584,382164,478364,597400,744365,925384 %N A376852 G.f.: Sum_{k>=0} x^(k*(k+1)) * Product_{j=1..k} ((1 + x^j)/(1 - x^j))^2. %H A376852 Vaclav Kotesovec, <a href="/A376852/b376852.txt">Table of n, a(n) for n = 0..10000</a> %F A376852 a(n) ~ exp(Pi*sqrt(n)) / (2^(9/2) * n). %t A376852 nmax = 60; CoefficientList[Series[Sum[x^(k*(k+1)) * Product[(1+x^j)/(1-x^j), {j, 1, k}]^2, {k, 0, Sqrt[nmax]}], {x, 0, nmax}], x] %Y A376852 Cf. A333374, A064428, A376813, A376853, A376854. %K A376852 nonn %O A376852 0,4 %A A376852 _Vaclav Kotesovec_, Oct 06 2024