A291700 Number of ways of writing n as a sum of n nonnegative cubes.

1, 1, 1, 1, 1, 1, 1, 1, 9, 73, 361, 1321, 3961, 10297, 24025, 51481, 103081, 196521, 368425, 720937, 1589161, 4069801, 11511721, 33341353, 94142313, 253860201, 650564201, 1588228228, 3716917597, 8418378043, 18699454621, 41451042556, 93508305513, 218218347865, 530189399785

Offset

0,9

Links

Seiichi Manyama, Table of n, a(n) for n = 0..500

Index entries for sequences related to sums of cubes

Formula

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

Mathematica

Table[SeriesCoefficient[Sum[x^k^3, {k, 0, n}]^n, {x, 0, n}], {n, 0, 34}]

Crossrefs

Main diagonal of A290054.

Cf. A066535, A106337, A287617.

Sequence in context: A091986 A096129 A365304 * A143571 A244202 A079927

Adjacent sequences: A291697 A291698 A291699 * A291701 A291702 A291703

Keyword

nonn

Author

Ilya Gutkovskiy, Aug 30 2017

Status

approved