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.

A344095 a(n) = [x^n] Product_{k>=1} 1 / (1 - n^(k+1)*x^k).

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%I A344095 #7 May 09 2021 05:48:39
%S A344095 1,1,24,1053,91136,12671875,2696063616,809983364505,327495685505024,
%T A344095 171227271945676302,112357985100000000000,90363823728354065308166,
%U A344095 87385452532420018496864256,100018623822234988019520698561,133709300217761726319712591577088
%N A344095 a(n) = [x^n] Product_{k>=1} 1 / (1 - n^(k+1)*x^k).
%H A344095 Vaclav Kotesovec, <a href="/A344095/b344095.txt">Table of n, a(n) for n = 0..213</a>
%F A344095 a(n) ~ n^(2*n).
%t A344095 Table[SeriesCoefficient[Product[1/(1-n^(k+1)*x^k), {k, 1, n}], {x, 0, n}], {n, 0, 20}]
%t A344095 Join[{1}, Table[SeriesCoefficient[x + (1-n)/QPochhammer[n, n*x], {x, 0, n}], {n, 1, 20}]]
%Y A344095 Cf. A338697, A344094.
%K A344095 nonn
%O A344095 0,3
%A A344095 _Vaclav Kotesovec_, May 09 2021