A266170 - OEIS

%I #25 Jan 05 2016 04:20:27

%S 0,0,1,0,0,0,5,2127,91845941

%N Number of species of maximal pairs of orthogonal Latin squares.

%C These pairs are maximal in that they cannot be extended to a triple of MOLS.

%H P. Danziger, I. M. Wanless and B. S. Webb, <a href="http://dx.doi.org/10.1016/j.jcta.2010.11.011">Monogamous Latin Squares</a>, J. Combin. Theory Ser. A 118 (2011), 796-807.

%H J. Egan and I. M. Wanless, <a href="http://dx.doi.org/10.1090/mcom/3010">Enumeration of MOLS of small order</a>, Mathematics of Computation 85, 2016, 799-824.

%H Ian Wanless, <a href="http://users.monash.edu.au/~iwanless/data/MOLS/">Data on MOLS</a>

%Y A129732 counts species of all pairs of MOLS whether maximal or not. Cf. A266171, A266177.

%K nonn,more

%O 1,7

%A _Ian Wanless_, Dec 22 2015