A382024 Maximum number of transversals in a Brown's diagonal Latin square of order 2n.

0, 8, 32, 384, 5504

Offset: 1

Author

Eduard I. Vatutin, Mar 12 2025

Keywords

• nonn
• more
• hard

Comments

A Brown's diagonal Latin square is a horizontally symmetric row-inverse or vertically symmetric column-inverse diagonal Latin square (see A339641).

Brown's diagonal Latin squares are special case of plain symmetry diagonal Latin squares that do not exist for odd orders.

a(6)>=198144, a(7)>=3477504, a(8)>=244744192.

Links

• Eduard I. Vatutin, About the spectra of numerical characteristics of Brown's diagonal Latin squares (in Russian).
• Eduard I. Vatutin, Proving list (best known examples).
• Index entries for sequences related to Latin squares and rectangles.

Crossrefs

Cf. A287644, A339641.