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

Author

Ilya Gutkovskiy, Aug 30 2017

Keywords

• nonn

Links

• Seiichi Manyama, Table of n, a(n) for n = 0..500
• Index entries for sequences related to sums of cubes

Crossrefs

Main diagonal of A290054.

Cf. A066535, A106337, A287617.

Programs

Mathematica

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

Formula

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