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.

A344094 a(n) = [x^n] Product_{k>=1} (1 + n^(k+1)*x^k).

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%I A344094 #11 Mar 27 2022 03:19:01
%S A344094 1,1,8,324,5120,171875,13716864,409300871,20535312384,976299632280,
%T A344094 144100000000000,6251749326428232,484144254340300800,
%U A344094 31585633366079696358,2452531026468909711360,483966896057281494140625,31314307295813796764844032,3176091371161687418319418614
%N A344094 a(n) = [x^n] Product_{k>=1} (1 + n^(k+1)*x^k).
%H A344094 Vaclav Kotesovec, <a href="/A344094/b344094.txt">Table of n, a(n) for n = 0..360</a>
%H A344094 Vaclav Kotesovec, <a href="/A344094/a344094.jpg">Plot of a(n+1)/a(n) for n = 1..400</a>
%t A344094 Table[SeriesCoefficient[Product[(1+n^(k+1)*x^k), {k, 1, n}], {x, 0, n}], {n, 0, 20}]
%t A344094 Join[{1}, Table[SeriesCoefficient[QPochhammer[-n, n*x]/(n+1), {x, 0, n}], {n, 1, 20}]]
%Y A344094 Cf. A292305, A340103, A344095.
%K A344094 nonn
%O A344094 0,3
%A A344094 _Vaclav Kotesovec_, May 09 2021