A352967 Array read by antidiagonals: A(i, j) = abs(i - j) if min(i, j) < max(i, j) <= 2*min(i, j), and otherwise 0, with i >= 0 and j >= 0.

0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 3, 1, 1, 3, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 3, 1, 1, 3, 0, 0, 0, 0, 0, 0, 0, 0, 4, 2, 0, 2, 4, 0, 0, 0, 0

Offset: 0

Author

Stefano Spezia, Apr 21 2022

Keywords

• nonn
• tabl

Examples

			The array begins:
    0, 0, 0, 0, 0, 0, 0, 0, ...
    0, 0, 1, 0, 0, 0, 0, 0, ...
    0, 1, 0, 1, 2, 0, 0, 0, ...
    0, 0, 1, 0, 1, 2, 3, 0, ...
    0, 0, 2, 1, 0, 1, 2, 3, ...
    0, 0, 0, 2, 1, 0, 1, 2, ...
    0, 0, 0, 3, 2, 1, 0, 1, ...
    0, 0, 0, 0, 3, 2, 1, 0, ...
    ...
		

Crossrefs

Cf. A003983, A049581, A051125, A307018 (antidiagonal half-sums), A353452, A353453.

Programs

Mathematica

A[i_,j_]:=If[Min[i, j]