cp's OEIS Frontend

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.

A376852 G.f.: Sum_{k>=0} x^(k*(k+1)) * Product_{j=1..k} ((1 + x^j)/(1 - x^j))^2.

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%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