A085391 - OEIS

A085391

Square array of centered numbers, read by antidiagonals.

0, 1, 0, 1, 1, 0, 1, 3, 1, 0, 1, 4, 5, 1, 0, 1, 5, 10, 7, 1, 0, 1, 6, 15, 19, 9, 1, 0, 1, 7, 21, 35, 31, 11, 1, 0, 1, 8, 28, 56, 69, 46, 13, 1, 0, 1, 9, 36, 84, 126, 121, 64, 15, 1, 0, 1, 10, 45, 120, 210, 251, 195, 85, 17, 1, 0, 1, 11, 55, 165, 330, 462, 456, 295, 109, 19, 1, 0

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OFFSET

0,8

LINKS

Table of n, a(n) for n=0..77.

FORMULA

Square array T(n, k)=C(n+k, k)-C(n, k).

Row k has g.f. (1-x^k)/(1-x)^(k+1).

EXAMPLE

Rows begin

0 0 0 0 0 0 ...

1 1 1 1 1 1 ...