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A279849
Rows of the 48 self-orthogonal Latin squares of order 4, lexicographically sorted.
5
1, 2, 3, 4, 3, 4, 1, 2, 4, 3, 2, 1, 2, 1, 4, 3, 1, 2, 3, 4, 4, 3, 2, 1, 2, 1, 4, 3, 3, 4, 1, 2, 1, 2, 4, 3, 3, 4, 2, 1, 2, 1, 3, 4, 4, 3, 1, 2, 1, 2, 4, 3, 4, 3, 1, 2, 3, 4, 2, 1, 2, 1, 3, 4, 1, 3, 2, 4, 2, 4, 1, 3, 4, 2, 3, 1, 3, 1, 4, 2, 1, 3, 2, 4, 4, 2, 3, 1, 3, 1, 4, 2, 2, 4, 1, 3
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
Eric Weisstein's World of Mathematics, Latin square
Wikipedia, Latin square
EXAMPLE
The first few squares are:
1 2 3 4 1 2 3 4 1 2 4 3 1 2 4 3 1 3 2 4 1 3 2 4 1 3 4 2
3 4 1 2 4 3 2 1 3 4 2 1 4 3 1 2 2 4 1 3 4 2 3 1 2 4 3 1
4 3 2 1 2 1 4 3 2 1 3 4 3 4 2 1 4 2 3 1 3 1 4 2 3 1 2 4
2 1 4 3 3 4 1 2 4 3 1 2 2 1 3 4 3 1 4 2 2 4 1 3 4 2 1 3
CROSSREFS
KEYWORD
nonn,fini,full,tabf
AUTHOR
Colin Barker, Dec 20 2016
STATUS
approved