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

0,8

Comments

Rows include A016813, A085473, A085474.

Links

Table of n, a(n) for n=0..70.

Formula

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

Example

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 ...

Crossrefs

Sequence in context: A336169 A007912 A019755 * A211399 A265192 A157012

Adjacent sequences: A085472 A085473 A085474 * A085476 A085477 A085478

Keyword

easy,nonn,tabl

Author

Paul Barry, Jul 01 2003

Status

approved