A279648 - OEIS

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A279648

Rows of the self-orthogonal Latin squares of order 7, lexicographically sorted.

1, 2, 3, 4, 5, 6, 7, 3, 4, 2, 5, 6, 7, 1, 4, 7, 6, 3, 1, 2, 5, 6, 1, 5, 7, 2, 4, 3, 2, 5, 7, 6, 3, 1, 4, 7, 3, 1, 2, 4, 5, 6, 5, 6, 4, 1, 7, 3, 2, 1, 2, 3, 4, 5, 6, 7, 3, 4, 2, 5, 6, 7, 1, 5, 1, 6, 7, 3, 4, 2, 6, 7, 1, 3, 2, 5, 4, 2, 5, 4, 6, 7, 1, 3, 7, 3, 5, 1, 4, 2, 6, 4, 6, 7, 2, 1, 3, 5

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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.

There are 19353600 self-orthogonal Latin squares of order 7.

LINKS

Colin Barker, Table of n, a(n) for n = 1..500

Eric Weisstein's World of Mathematics, Latin square

Wikipedia, Latin square