A383684 Minimum number of transversals in an extended self-orthogonal diagonal Latin square of order n.

1, 0, 0, 8, 15, 0, 23, 128, 133, 716

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, A387124, A387187.

Sequence in context: A158967 A253287 A357514 * A331814 A387124 A082170

Adjacent sequences: A383681 A383682 A383683 * A383685 A383686 A383687

Keyword

nonn,more,hard

Author

Eduard I. Vatutin, May 05 2025

Status

approved