A290054 - OEIS

A290054

Square array A(n,k), n>=0, k>=0, read by antidiagonals, where column k is the expansion of (Sum_{j>=0} x^(j^3))^k.

1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 3, 1, 0, 0, 1, 4, 3, 0, 0, 0, 1, 5, 6, 1, 0, 0, 0, 1, 6, 10, 4, 0, 0, 0, 0, 1, 7, 15, 10, 1, 0, 0, 0, 0, 1, 8, 21, 20, 5, 0, 0, 0, 1, 0, 1, 9, 28, 35, 15, 1, 0, 0, 2, 0, 0, 1, 10, 36, 56, 35, 6, 0, 0, 3, 2, 0, 0, 1, 11, 45, 84, 70, 21, 1, 0, 4, 6, 0, 0, 0

(list; table; graph; refs; listen; history; text; internal format)

OFFSET

0,8

COMMENTS

A(n,k) is the number of ways of writing n as a sum of k nonnegative cubes.

LINKS

Seiichi Manyama, Antidiagonals n = 0..139, flattened

Index entries for sequences related to sums of cubes

FORMULA

G.f. of column k: (Sum_{j>=0} x^(j^3))^k.

EXAMPLE

Square array begins: