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A266170 Number of species of maximal pairs of orthogonal Latin squares. 4
0, 0, 1, 0, 0, 0, 5, 2127, 91845941 (list; graph; refs; listen; history; text; internal format)
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

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Last modified March 26 17:26 EDT 2023. Contains 361551 sequences. (Running on oeis4.)