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A307163
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Minimum number of intercalates in a diagonal Latin square of order n.
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10
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0, 0, 0, 12, 0, 9, 0, 0, 0, 0, 0, 0, 0
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OFFSET
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1,4
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COMMENTS
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An intercalate is a 2 X 2 subsquare of a Latin square.
a(n)=0 for all orders n for which cyclic diagonal Latin squares exist (see A007310) due to all cyclic diagonal Latin squares don't have intercalates. - Eduard I. Vatutin, Aug 07 2023
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LINKS
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E. Vatutin, A. Belyshev, N. Nikitina, and M. Manzuk, Evaluation of Efficiency of Using Simple Transformations When Searching for Orthogonal Diagonal Latin Squares of Order 10, Communications in Computer and Information Science, Vol. 1304, Springer, 2020, pp. 127-146, DOI: 10.1007/978-3-030-66895-2_9.
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CROSSREFS
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KEYWORD
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nonn,more,hard
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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