login
Number of reduced maximal pairs of orthogonal Latin squares.
3

%I #14 Dec 27 2015 12:58:57

%S 0,0,1,0,0,0,341880,7832534400,7188529229970480

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

%C A pair of MOLS is reduced if their first rows are in natural order and so is the first column of the first square. The pair is maximal if it cannot be extended to a triple of MOLS.

%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 Cf. A072377, A266166, A266170.

%K nonn,more

%O 1,7

%A _Ian Wanless_, Dec 23 2015