A286297 Irregular triangle read by rows: successive rows have lengths 1,3,5,7,..., and are filled in across rows with the smallest nonnegative number such that there is no repeat in any row, column, or diagonal of slope +-1.

0, 1, 2, 3, 2, 0, 4, 1, 5, 3, 1, 5, 6, 0, 4, 2, 4, 5, 0, 2, 1, 7, 3, 6, 8, 5, 3, 1, 4, 6, 8, 9, 2, 7, 0, 10, 6, 4, 2, 0, 3, 9, 5, 10, 11, 1, 12, 7, 13, 7, 8, 9, 5, 4, 6, 10, 3, 2, 12, 0, 11, 14, 15, 1, 8, 6, 10, 3, 7, 2, 11, 4, 9, 13, 1, 5, 15, 12, 16, 14, 17

Offset

0,3

Comments

Conjecture: every column or diagonal of slope +-1 is a permutation of the nonnegative numbers.

Links

Alois P. Heinz, Rows n = 0..200, flattened

Example

Triangle begins:
..........0,
........1,2,3,
......2,0,4,1,5,
....3,1,5,6,0,4,2,
..4,5,0,2,1,7,3,6,8,
5,3,1,4,6,8,9,2,7,0,10,
...

Crossrefs

Inspired by A274528, A274641, A274650.

Sequence in context: A104771 A307688 A056888 * A339451 A111182 A178142

Adjacent sequences: A286294 A286295 A286296 * A286298 A286299 A286300

Keyword

nonn,tabf

Author

N. J. A. Sloane, Jun 01 2017

Extensions

More terms from Alois P. Heinz, Jun 01 2017

Status

approved