%I #4 Mar 26 2018 20:34:19
%S 1,1,4,27,256,3125,46656,823543,16777224,387420651,10000003000,
%T 285311729175,8916101692416,302875135553107,11112007563452544,
%U 437893910883984375,18446744692184842496,827240282046275783406,39346408782249049076832,1978419682220092642678901,104857601064960000960000000
%N a(n) = [x^n] 1/(1 - n*Sum_{k>=1} x^(k^3)).
%C Number of compositions (ordered partitions) of n into cubes of n kinds.
%H <a href="/index/Com#comp">Index entries for sequences related to compositions</a>
%H <a href="/index/Su#ssq">Index entries for sequences related to sums of cubes</a>
%t Table[SeriesCoefficient[1/(1 - n Sum[x^k^3, {k, 1, n}]), {x, 0, n}], {n, 0, 20}]
%Y Cf. A000578, A023358, A300975, A301335.
%K nonn
%O 0,3
%A _Ilya Gutkovskiy_, Mar 26 2018