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 A279850 Rows of the 1440 self-orthogonal Latin squares of order 5, lexicographically sorted. 5
 1, 2, 3, 4, 5, 3, 4, 2, 5, 1, 4, 1, 5, 3, 2, 5, 3, 1, 2, 4, 2, 5, 4, 1, 3, 1, 2, 3, 4, 5, 3, 4, 5, 1, 2, 5, 1, 2, 3, 4, 2, 3, 4, 5, 1, 4, 5, 1, 2, 3, 1, 2, 3, 4, 5, 3, 5, 2, 1, 4, 5, 1, 4, 2, 3, 2, 4, 5, 3, 1, 4, 3, 1, 5, 2, 1, 2, 3, 4, 5, 3, 5, 4, 2, 1, 4, 1, 2, 5, 3, 5, 4, 1, 3, 2, 2, 3, 5, 1, 4 (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. LINKS Colin Barker, Table of n, a(n) for n = 1..36000 Eric Weisstein's World of Mathematics, Latin square Wikipedia, Latin square EXAMPLE The first few squares are: 1 2 3 4 5   1 2 3 4 5   1 2 3 4 5   1 2 3 4 5   1 2 3 4 5   1 2 3 4 5 3 4 2 5 1   3 4 5 1 2   3 5 2 1 4   3 5 4 2 1   4 3 1 5 2   4 3 5 2 1 4 1 5 3 2   5 1 2 3 4   5 1 4 2 3   4 1 2 5 3   2 4 5 3 1   5 4 2 1 3 5 3 1 2 4   2 3 4 5 1   2 4 5 3 1   5 4 1 3 2   5 1 4 2 3   3 1 4 5 2 2 5 4 1 3   4 5 1 2 3   4 3 1 5 2   2 3 5 1 4   3 5 2 1 4   2 5 1 3 4 CROSSREFS Cf. A160368, A279648, A279649, A279650, A279849. Sequence in context: A308830 A104413 A127064 * A117607 A215092 A309079 Adjacent sequences:  A279847 A279848 A279849 * A279851 A279852 A279853 KEYWORD nonn,fini,full,tabf AUTHOR Colin Barker, Dec 20 2016 STATUS approved

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Last modified October 27 19:59 EDT 2020. Contains 338036 sequences. (Running on oeis4.)