A382270 Maximum number of intercalates in a Brown's diagonal Latin square of order 2n.

0, 12, 9, 112, 57

Offset

1,2

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)>=252, a(7)>=385, a(8)>=960, a(9)>=329, a(10)>=356, a(11)>=497, a(12)>=1008, a(13)>=497, a(14)>=524.

Links

Table of n, a(n) for n=1..5.

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. A092237, A307163, A307164, A339641, A345760, A368182, A379665.

Sequence in context: A379665 A068614 A163920 * A038335 A359737 A216856

Adjacent sequences: A382267 A382268 A382269 * A382271 A382272 A382273

Keyword

nonn,more,hard

Author

Eduard I. Vatutin, Mar 20 2025

Status

approved