A085475 Square array of binomial related numbers, read by antidiagonals.

0, 1, 0, 1, 1, 0, 1, 5, 1, 0, 1, 10, 9, 1, 0, 1, 15, 31, 13, 1, 0, 1, 21, 69, 64, 17, 1, 0, 1, 28, 126, 195, 109, 21, 1, 0, 1, 36, 210, 456, 425, 166, 25, 1, 0, 1, 45, 330, 923, 1231, 791, 235, 29, 1, 0, 1, 55, 495, 1716, 2975, 2751, 1325, 316, 33, 1, 0, 1, 66, 715, 3003, 6427

Offset: 0

Author

Paul Barry, Jul 01 2003

Keywords

• easy
• nonn
• tabl

Comments

Rows include A016813, A085473, A085474.

Examples

			Rows begin
0 0 0 0 0 ...
1 1 1 1 1 ...
1 5 9 13 17 ...
1 10 31 64 109 ...
1 15 69 195 425 ...
		

Formula

T(n, k)=C(2n+k, k)-C(2n, k).