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