A266170 Number of species of maximal pairs of orthogonal Latin squares.

0, 0, 1, 0, 0, 0, 5, 2127, 91845941

Offset

1,7

Comments

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

Links

Table of n, a(n) for n=1..9.

P. Danziger, I. M. Wanless and B. S. Webb, Monogamous Latin Squares, J. Combin. Theory Ser. A 118 (2011), 796-807.

J. Egan and I. M. Wanless, Enumeration of MOLS of small order, Mathematics of Computation 85, 2016, 799-824.

Ian Wanless, Data on MOLS

Crossrefs

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

Sequence in context: A004816 A327763 A247106 * A114428 A074799 A172942

Adjacent sequences: A266167 A266168 A266169 * A266171 A266172 A266173

Keyword

nonn,more

Author

Ian Wanless, Dec 22 2015

Status

approved