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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: A134364 A104413 A127064 * A117607 A215092 A194551

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 May 20 12:33 EDT 2019. Contains 323422 sequences. (Running on oeis4.)