A381971 Maximum number of diagonal transversals in a Brown's diagonal Latin square of order 2n.

0, 4, 6, 120, 890

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 are not exist for odd orders.

a(6)>=28496, a(7)>=490218, a(8)>=32172800.

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. A287648, A339641.

Sequence in context: A391734 A337466 A052672 * A375697 A377719 A377688

Adjacent sequences: A381968 A381969 A381970 * A381972 A381973 A381974

Keyword

nonn,more,hard

Author

Eduard I. Vatutin, Mar 11 2025

Status

approved