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A298671 Number of ordered ways of writing n^3 as a sum of n nonnegative cubes. 10
1, 1, 2, 3, 4, 5, 146, 4207, 26329, 257721, 3556495, 42685181, 631230381, 9409600499, 142557084957, 2781352245050, 52598395446786, 950288577530017, 20768368026768594, 448759012546543804, 9652848877533217174, 235179507693424886403, 5756272592837812726164, 140920987987840184113287 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..23.

Index entries for sequences related to sums of cubes

FORMULA

a(n) = [x^(n^3)] (Sum_{k>=0} x^(k^3))^n.

EXAMPLE

a(3) = 3 because we have [27, 0, 0], [0, 27, 0] and [0, 0, 27].

MATHEMATICA

Table[SeriesCoefficient[Sum[x^k^3, {k, 0, n}]^n, {x, 0, n^3}], {n, 0, 23}]

CROSSREFS

Cf. A000578, A030272, A232173, A259792, A290054, A290247, A291700, A298329, A298330, A298641, A298672.

Sequence in context: A240695 A004867 A318842 * A073787 A274028 A037436

Adjacent sequences:  A298668 A298669 A298670 * A298672 A298673 A298674

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Jan 24 2018

STATUS

approved

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Last modified February 27 15:59 EST 2020. Contains 332307 sequences. (Running on oeis4.)