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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 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.)