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

0,24

Links

Table of n, a(n) for n=0..90.

Example

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, ...
    ...

Mathematica

A[i_, j_]:=If[Min[i, j]<Max[i, j]<=2Min[i, j], Abs[j-i], 0]; Flatten[Table[A[i-j, j], {i, 0, 12}, {j, 0, i}]]

Crossrefs

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

Sequence in context: A069845 A091397 A119818 * A331292 A331293 A335379

Adjacent sequences: A352964 A352965 A352966 * A352968 A352969 A352970

Keyword

nonn,tabl

Author

Stefano Spezia, Apr 21 2022

Status

approved