A387236 Minimum number of diagonal transversals in an extended self-orthogonal diagonal Latin square of order n.

1, 0, 0, 4, 5, 0, 8, 16, 15, 75

Offset: 1

Author

Eduard I. Vatutin, Aug 23 2025

Keywords

• nonn
• more
• hard
• new

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

• 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. A287647, A287648, A309210, A309598, A309599, A354068, A360220.