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.
%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