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A279650 An idempotent self-orthogonal Latin square of order 11, read by rows. 4
1, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 3, 2, 1, 11, 10, 9, 8, 7, 6, 5, 4, 5, 4, 3, 2, 1, 11, 10, 9, 8, 7, 6, 7, 6, 5, 4, 3, 2, 1, 11, 10, 9, 8, 9, 8, 7, 6, 5, 4, 3, 2, 1, 11, 10, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, 1, 11, 10, 9, 8, 7, 6, 5, 4, 3, 4, 3, 2, 1, 11, 10, 9, 8, 7, 6, 5, 6, 5, 4, 3, 2, 1, 11, 10, 9, 8, 7, 8, 7, 6, 5, 4, 3, 2, 1, 11, 10, 9, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 11 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

An m X m Latin square consists of m sets of the numbers 1 to m arranged in such a way that no row or column contains the same number twice.

Two m X m Latin squares are orthogonal if no pair of corresponding elements occurs more than once.

A self-orthogonal Latin square is a Latin square that is orthogonal to its transpose.

An m X m self-orthogonal Latin square is idempotent if the diagonal contains 1 to m in order.

LINKS

Table of n, a(n) for n=1..121.

Eric Weisstein's World of Mathematics, Latin square

Wikipedia, Latin square

EXAMPLE

The Latin square is:

   1 11 10  9  8  7  6  5  4  3  2

   3  2  1 11 10  9  8  7  6  5  4

   5  4  3  2  1 11 10  9  8  7  6

   7  6  5  4  3  2  1 11 10  9  8

   9  8  7  6  5  4  3  2  1 11 10

  11 10  9  8  7  6  5  4  3  2  1

   2  1 11 10  9  8  7  6  5  4  3

   4  3  2  1 11 10  9  8  7  6  5

   6  5  4  3  2  1 11 10  9  8  7

   8  7  6  5  4  3  2  1 11 10  9

  10  9  8  7  6  5  4  3  2  1 11

CROSSREFS

Cf. A160368, A279648, A279649, A279849, A279850.

Sequence in context: A023453 A261304 A055122 * A004452 A291467 A112952

Adjacent sequences:  A279647 A279648 A279649 * A279651 A279652 A279653

KEYWORD

nonn,fini,full,tabf

AUTHOR

Colin Barker, Dec 16 2016

STATUS

approved

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Last modified May 26 13:05 EDT 2019. Contains 323586 sequences. (Running on oeis4.)