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

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 ...
1 3 5 7 9 11 ...
1 4 10 19 31 46 ...
1 5 15 35 69 121...

Crossrefs

Rows include A005408, A005448, A005894, A008498, A008499, A008500, A008501.

Diagonals include A030662, A001700, A001791, A002054, A002694, A003516.

Sequence in context: A268441 A264435 A356656 * A280880 A050143 A103495

Adjacent sequences: A085388 A085389 A085390 * A085392 A085393 A085394

Keyword

easy,nonn,tabl

Author

Paul Barry, Jul 02 2003

Status

approved