A360221 Minimum number of intercalates in an orthogonal diagonal Latin square of order n.

0, 0, 0, 12, 0, 0, 0, 2, 0

Offset

1,4

Comments

An intercalate is a 2 X 2 subsquare of a Latin square.

An orthogonal diagonal Latin squares is a diagonal Latin square that has at least one orthogonal diagonal mate.

a(10) <= 2, a(11) = 0, a(12) <= 4, a(13) = 0.

Links

Table of n, a(n) for n=1..9.

Eduard I. Vatutin, About the spectra of numerical characteristics of orthogonal diagonal Latin squares of orders 1-11 (in Russian).

Eduard I. Vatutin, Proving list (best known examples).

E. I. Vatutin, N. N. Nikitina, M. O. Manzuk, A. M. Albertyan, and I. I. Kurochkin, On the construction of spectra of fast-computable numerical characteristics for diagonal Latin squares of small order, Intellectual and Information Systems (Intellect - 2021), Tula, 2021, pp. 7-17. (in Russian)

Index entries for sequences related to Latin squares and rectangles.

Crossrefs

Cf. A305570, A305571, A307163, A354050, A360223.

Sequence in context: A216809 A204274 A283643 * A271437 A271517 A200512

Adjacent sequences: A360218 A360219 A360220 * A360222 A360223 A360224

Keyword

nonn,more,hard,bref

Author

Eduard I. Vatutin, Jan 30 2023

Status

approved