A266171 Number of reduced maximal pairs of orthogonal Latin squares.

0, 0, 1, 0, 0, 0, 341880, 7832534400, 7188529229970480

Offset

1,7

Comments

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.

Links

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

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

Cf. A072377, A266166, A266170.

Sequence in context: A251495 A233596 A291420 * A233604 A363175 A306796

Adjacent sequences: A266168 A266169 A266170 * A266172 A266173 A266174

Keyword

nonn,more

Author

Ian Wanless, Dec 23 2015

Status

approved