A303484 -id:A303484 - cp's OEIS frontend

A303169 a(n) = [x^(n^3)] (1/(1 - x))*(Sum_{k>=0} x^(k^3))^n.

1, 2, 6, 30, 241, 2093, 23059, 276056, 3657901, 51751598, 792918670, 13031054778, 228632547574, 4247832219975, 83138970732860, 1710953260292025, 36844216654753387, 827664913984323748, 19363023028132371129, 470436686367280495474, 11843579175327033093769

Offset: 0

Graph
List
Refs
Listen
History
Text
Internal format

Ilya Gutkovskiy, Apr 19 2018

nonn

Number of nonnegative solutions to (x_1)^3 + (x_2)^3 + ... + (x_n)^3 <= n^3.

Index entries for sequences related to sums of cubes

Main diagonal of A303484.

Cf. A000578, A010052, A224214, A224215, A290054, A298671, A302863.

Table[SeriesCoefficient[1/(1 - x) Sum[x^k^3, {k, 0, n}]^n, {x, 0, n^3}], {n, 0, 20}]

cp's OEIS Frontend

A303169 a(n) = [x^(n^3)] (1/(1 - x))*(Sum_{k>=0} x^(k^3))^n.

Views

Author

Keywords

Comments

Links

Crossrefs

Programs

Mathematica