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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 (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..768

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

Cf. A160368, A279648, A279649, A279650, A279850.

Sequence in context: A242294 A234347 A286245 * A106826 A259582 A139048

Adjacent sequences:  A279846 A279847 A279848 * A279850 A279851 A279852

KEYWORD

nonn,fini,full,tabf

AUTHOR

Colin Barker, Dec 20 2016

STATUS

approved

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Last modified May 23 20:23 EDT 2019. Contains 323528 sequences. (Running on oeis4.)