A298671 Number of ordered ways of writing n^3 as a sum of n nonnegative cubes.

1, 1, 2, 3, 4, 5, 146, 4207, 26329, 257721, 3556495, 42685181, 631230381, 9409600499, 142557084957, 2781352245050, 52598395446786, 950288577530017, 20768368026768594, 448759012546543804, 9652848877533217174, 235179507693424886403, 5756272592837812726164, 140920987987840184113287

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