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 A301742 a(n) = [x^n] 1/(1 - n*Sum_{k>=1} x^(k^3)). 0
 1, 1, 4, 27, 256, 3125, 46656, 823543, 16777224, 387420651, 10000003000, 285311729175, 8916101692416, 302875135553107, 11112007563452544, 437893910883984375, 18446744692184842496, 827240282046275783406, 39346408782249049076832, 1978419682220092642678901, 104857601064960000960000000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS Number of compositions (ordered partitions) of n into cubes of n kinds. LINKS MATHEMATICA Table[SeriesCoefficient[1/(1 - n Sum[x^k^3, {k, 1, n}]), {x, 0, n}], {n, 0, 20}] CROSSREFS Cf. A000578, A023358, A300975, A301335. Sequence in context: A000312 A177885 A086783 * A050764 A302108 A240582 Adjacent sequences:  A301739 A301740 A301741 * A301743 A301744 A301745 KEYWORD nonn AUTHOR Ilya Gutkovskiy, Mar 26 2018 STATUS approved

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Last modified July 23 22:20 EDT 2021. Contains 346265 sequences. (Running on oeis4.)