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A290247 Number of compositions (ordered partitions) of n^3 into cubes. 5
1, 1, 2, 120, 290250, 107320441096, 21715974961480054078, 8487986089807555456140271121440, 22615863021403796876556069287242400147213424924, 1449638083412288206280215383952017948209203861522683138464747658192 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..22

Index entries for sequences related to compositions

FORMULA

a(n) = [x^(n^3)] 1/(1 - Sum_{k>=1} x^(k^3)).

a(n) = A023358(A000578(n)).

EXAMPLE

a(2) = 2 because 2^3 = 8 and we have [8], [1, 1, 1, 1, 1, 1, 1, 1].

MAPLE

b:= proc(n) option remember; local i; if n=0 then 1

      else 0; for i while i^3<=n do %+b(n-i^3) od fi

    end:

a:= n-> b(n^3):

seq(a(n), n=0..10);  # Alois P. Heinz, Aug 12 2017

MATHEMATICA

Table[SeriesCoefficient[1/(1 - Sum[x^k^3, {k, 1, n}]), {x, 0, n^3}], {n, 0, 9}]

CROSSREFS

Cf. A000578, A023358, A030272, A224366, A259792.

Sequence in context: A024343 A100043 A181760 * A100012 A042799 A281983

Adjacent sequences:  A290244 A290245 A290246 * A290248 A290249 A290250

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Jul 24 2017

STATUS

approved

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Last modified April 9 06:59 EDT 2020. Contains 333344 sequences. (Running on oeis4.)