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
Examples
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
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).