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

1,4

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. A287647, A287648, A309210, A309598, A309599, A354068, A360220, A387360, A389118.

Sequence in context: A388900 A388337 A354068 * A200013 A178219 A322232

Adjacent sequences: A387233 A387234 A387235 * A387237 A387238 A387239

Keyword

nonn,more,hard

Author

Eduard I. Vatutin, Aug 23 2025

Status

approved