A387124 Maximum number of transversals in an extended self-orthogonal diagonal Latin square of order n.

1, 0, 0, 8, 15, 0, 133, 384, 2241, 988

Offset

1,4

Comments

A self-orthogonal diagonal Latin square (SODLS) is a diagonal Latin square orthogonal to its transpose. An extended self-orthogonal diagonal Latin square (ESODLS) is a diagonal Latin square that has an orthogonal diagonal Latin square from the same main class. SODLS is a special case of ESODLS.

Links

Table of n, a(n) for n=1..10.

Eduard I. Vatutin, About the properties of ESODLS of orders 1-10 (in Russian).

Eduard I. Vatutin, Proving list (best known examples).

Index entries for sequences related to Latin squares and rectangles.

Crossrefs

Cf. A090741, A091323, A287644, A287645, A309210, A309598, A309599, A357514, A383684, A387187.

Sequence in context: A357514 A383684 A331814 * A082170 A136377 A103706

Adjacent sequences: A387121 A387122 A387123 * A387125 A387126 A387127

Keyword

nonn

Author

Eduard I. Vatutin, Aug 17 2025

Status

approved