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.

A303485 a(n) = [x^(n^3)] (1/(1 - x))*(Sum_{k>=1} x^(k^3))^n.

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%I A303485 #5 Apr 28 2018 17:16:44
%S A303485 1,1,1,8,66,512,5269,57459,711742,9610222,139735699,2183555015,
%T A303485 36543300668,649320343729,12174674648730,240360451018461,
%U A303485 4975239937954534,107600744797471150,2426579187889852885,56901290353169050995,1384258146777832889697
%N A303485 a(n) = [x^(n^3)] (1/(1 - x))*(Sum_{k>=1} x^(k^3))^n.
%C A303485 Number of positive solutions to (x_1)^3 + (x_2)^3 + ... + (x_n)^3 <= n^3.
%H A303485 <a href="/index/Su#ssq">Index entries for sequences related to sums of cubes</a>
%t A303485 Join[{1}, Table[SeriesCoefficient[1/(1 - x) Sum[x^k^3, {k, 1, n}]^n, {x, 0, n^3}], {n, 20}]]
%Y A303485 Cf. A000578, A010057, A051344, A280618, A298672, A302995, A303169.
%K A303485 nonn
%O A303485 0,4
%A A303485 _Ilya Gutkovskiy_, Apr 24 2018