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.

A281669 Expansion of Sum_{i>=1} x^(i^3)/(1 + x^(i^3)) * Product_{j>=1} (1 + x^(j^3)).

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%I A281669 #4 Jan 27 2017 13:07:14
%S A281669 1,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,
%T A281669 2,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,
%U A281669 0,0,0,2,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,0,0,0,0,0,0,3,4
%N A281669 Expansion of Sum_{i>=1} x^(i^3)/(1 + x^(i^3)) * Product_{j>=1} (1 + x^(j^3)).
%C A281669 Total number of parts in all partitions of n into distinct cubes.
%H A281669 <a href="/index/Par#partN">Index entries for related partition-counting sequences</a>
%F A281669 G.f.: Sum_{i>=1} x^(i^3)/(1 + x^(i^3)) * Product_{j>=1} (1 + x^(j^3)).
%e A281669 a(36) = 3 because we have [27, 8, 1].
%t A281669 nmax = 100; Rest[CoefficientList[Series[Sum[x^i^3/(1 + x^i^3), {i, 1, nmax}] Product[1 + x^j^3, {j, 1, nmax}], {x, 0, nmax}], x]]
%Y A281669 Cf. A000578, A015723, A279329, A281542, A281613.
%K A281669 nonn
%O A281669 1,9
%A A281669 _Ilya Gutkovskiy_, Jan 26 2017