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.

A301518 a(n) = [x^n] Product_{k>=1} (1 + x^(k^2))^n.

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%I A301518 #9 Mar 23 2018 05:55:58
%S A301518 1,1,1,1,5,26,91,246,589,1468,4226,13311,41471,122864,351184,1001876,
%T A301518 2920957,8698612,26070130,77707056,229959130,679050870,2011457295,
%U A301518 5986185690,17866178695,53343031301,159149943668,474683353849,1416730630936,4233405443596
%N A301518 a(n) = [x^n] Product_{k>=1} (1 + x^(k^2))^n.
%H A301518 Vaclav Kotesovec, <a href="/A301518/b301518.txt">Table of n, a(n) for n = 0..1000</a>
%F A301518 a(n) ~ c * d^n / sqrt(n), where d = 3.04074590736461391963643911... and c = 0.2268848664201836146769277...
%t A301518 Table[SeriesCoefficient[Product[(1 + x^(k^2))^n, {k, 1, n}], {x, 0, n}], {n, 0, 30}]
%Y A301518 Cf. A033461, A281790, A291649, A300974.
%K A301518 nonn
%O A301518 0,5
%A A301518 _Vaclav Kotesovec_, Mar 23 2018