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A357514
Minimum number of transversals in an orthogonal diagonal Latin square of order n.
2
1, 0, 0, 8, 15, 0, 23, 16, 132
OFFSET
1,4
COMMENTS
Orthogonal diagonal Latin squares is a diagonal Latin squares that have at least one orthogonal diagonal mate.
a(10) <= 652, a(11) <= 2091, a(12) <= 6240. - Eduard I. Vatutin, Oct 01 2022, updated Oct 21 2024
Every diagonal Latin square is a Latin square and every orthogonal diagonal Latin square is a diagonal Latin square, so 0 <= A287645(n) <= a(n) <= A287644(n) <= A090741(n). - Eduard I. Vatutin, Feb 17 2023
LINKS
Eduard I. Vatutin, 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)
CROSSREFS
KEYWORD
nonn,more,hard,changed
AUTHOR
Eduard I. Vatutin, Oct 01 2022
STATUS
approved