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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.
5
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
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
KEYWORD
nonn,tabf
AUTHOR
N. J. A. Sloane, Jun 01 2017
EXTENSIONS
More terms from Alois P. Heinz, Jun 01 2017
STATUS
approved