A387360 Maximum number of diagonal transversals in an extended self-orthogonal diagonal Latin square of order n.

1, 0, 0, 4, 5, 0, 27, 96, 333, 152

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).

Index entries for sequences related to Latin squares and rectangles.

Crossrefs

Cf. A287647, A287648, A309210, A309598, A309599, A354068, A360220, A387236, A389118.

Sequence in context: A178219 A322232 A232397 * A360220 A375943 A122753

Adjacent sequences: A387357 A387358 A387359 * A387361 A387362 A387363

Keyword

nonn,more,hard

Author

Eduard I. Vatutin, Aug 27 2025

Status

approved