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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 (list; graph; refs; listen; history; text; internal format)
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 * A111182 A178142 A076427

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

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Last modified October 14 03:58 EDT 2019. Contains 327995 sequences. (Running on oeis4.)