A286352 - OEIS

A286352

Square array A(n,k), n>=0, k>=0, read by antidiagonals, where column k is the expansion of Product_{j>=1} 1/(1 + x^j)^k.

1, 1, 0, 1, -1, 0, 1, -2, 0, 0, 1, -3, 1, -1, 0, 1, -4, 3, -2, 1, 0, 1, -5, 6, -4, 4, -1, 0, 1, -6, 10, -8, 9, -4, 1, 0, 1, -7, 15, -15, 17, -12, 5, -1, 0, 1, -8, 21, -26, 30, -28, 15, -6, 2, 0, 1, -9, 28, -42, 51, -56, 38, -21, 9, -2, 0, 1, -10, 36, -64, 84

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

OFFSET

0,8

LINKS

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

FORMULA

G.f. of column k: Product_{j>=1} 1/(1 + x^j)^k.

EXAMPLE

Square array begins:

1, 1, 1, 1, 1, 1, ...

0, -1, -2, -3, -4, -5, ...

0, 0, 1, 3, 6, 10, ...