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.

A349901 a(n) = Sum_{k=0..n} k^(3*n).

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%I A349901 #16 Dec 06 2021 03:09:22
%S A349901 1,1,65,20196,17312754,31605701625,105443761093411,580964060390826448,
%T A349901 4918745981990731659972,60634331963604550954204425,
%U A349901 1043651859661187698792930519525,24256699178432730349549665042311076,740737411098120942914045235001015624310
%N A349901 a(n) = Sum_{k=0..n} k^(3*n).
%H A349901 Seiichi Manyama, <a href="/A349901/b349901.txt">Table of n, a(n) for n = 0..152</a>
%F A349901 G.f.: Sum_{k>=0} (k^3 * x)^k/(1 - k^3 * x).
%F A349901 a(n) ~ exp(3)/(exp(3)-1) * n^(3*n). - _Vaclav Kotesovec_, Dec 05 2021
%o A349901 (PARI) a(n) = sum(k=0, n, k^(3*n));
%o A349901 (PARI) my(N=20, x='x+O('x^N)); Vec(sum(k=0, N, (k^3*x)^k/(1-k^3*x)))
%Y A349901 Cf. A249459, A349883, A349886.
%K A349901 nonn
%O A349901 0,3
%A A349901 _Seiichi Manyama_, Dec 05 2021