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%I #9 Dec 21 2016 11:07:00
%S 1,11,10,9,8,7,6,5,4,3,2,3,2,1,11,10,9,8,7,6,5,4,5,4,3,2,1,11,10,9,8,
%T 7,6,7,6,5,4,3,2,1,11,10,9,8,9,8,7,6,5,4,3,2,1,11,10,11,10,9,8,7,6,5,
%U 4,3,2,1,2,1,11,10,9,8,7,6,5,4,3,4,3,2,1,11,10,9,8,7,6,5,6,5,4,3,2,1,11,10,9,8,7,8,7,6,5,4,3,2,1,11,10,9,10,9,8,7,6,5,4,3,2,1,11
%N An idempotent self-orthogonal Latin square of order 11, read by rows.
%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.
%C An m X m self-orthogonal Latin square is idempotent if the diagonal contains 1 to m in order.
%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 Latin square is:
%e 1 11 10 9 8 7 6 5 4 3 2
%e 3 2 1 11 10 9 8 7 6 5 4
%e 5 4 3 2 1 11 10 9 8 7 6
%e 7 6 5 4 3 2 1 11 10 9 8
%e 9 8 7 6 5 4 3 2 1 11 10
%e 11 10 9 8 7 6 5 4 3 2 1
%e 2 1 11 10 9 8 7 6 5 4 3
%e 4 3 2 1 11 10 9 8 7 6 5
%e 6 5 4 3 2 1 11 10 9 8 7
%e 8 7 6 5 4 3 2 1 11 10 9
%e 10 9 8 7 6 5 4 3 2 1 11
%Y Cf. A160368, A279648, A279649, A279849, A279850.
%K nonn,fini,full,tabf
%O 1,2
%A _Colin Barker_, Dec 16 2016
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