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A360221
Minimum number of intercalates in an orthogonal diagonal Latin square of order n.
2
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) <= 1, a(11) = 0, a(12) <= 4, a(13) = 0. - Eduard I. Vatutin, added Jan 30 2023, updated Sep 24 2024
LINKS
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)
CROSSREFS
KEYWORD
nonn,more,hard,bref
AUTHOR
Eduard I. Vatutin, Jan 30 2023
STATUS
approved