login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A279850 Rows of the 1440 self-orthogonal Latin squares of order 5, lexicographically sorted. 5

%I #9 Dec 21 2016 11:43:42

%S 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,

%T 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,

%U 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

%N Rows of the 1440 self-orthogonal Latin squares of order 5, lexicographically sorted.

%C 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.

%C Two m X m Latin squares are orthogonal if no pair of corresponding elements occurs more than once.

%C A self-orthogonal Latin square is a Latin square that is orthogonal to its transpose.

%H Colin Barker, <a href="/A279850/b279850.txt">Table of n, a(n) for n = 1..36000</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/LatinSquare.html">Latin square</a>

%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Latin_square">Latin square</a>

%e The first few squares are:

%e 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

%e 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

%e 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

%e 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

%e 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

%Y Cf. A160368, A279648, A279649, A279650, A279849.

%K nonn,fini,full,tabf

%O 1,2

%A _Colin Barker_, Dec 20 2016

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 28 12:26 EDT 2024. Contains 371254 sequences. (Running on oeis4.)