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 A307840 Maximum number of Latin subrectangles in a diagonal Latin square of order n. 2
 1, 0, 0, 137, 348, 884, 2119 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,4 COMMENTS An Latin subrectangle is a m X k Latin rectangle of a Latin square of order n, 1 <= m <= n, 1 <= k <= n. LINKS E. I. Vatutin, Discussion about properties of diagonal Latin squares at forum.boinc.ru (in Russian) EXAMPLE For example, the square 0 1 2 3 4 5 6 4 2 6 5 0 1 3 3 6 1 0 5 2 4 6 3 5 4 1 0 2 1 5 3 2 6 4 0 5 0 4 6 2 3 1 2 4 0 1 3 6 5 has a Latin subrectangle . . . . . . . . . 6 5 0 1 3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 0 1 3 6 5 The total number of Latin subrectangles for this square is 2119. CROSSREFS Cf. A307839. Sequence in context: A142497 A142523 A307839 * A142211 A142447 A142620 Adjacent sequences:  A307837 A307838 A307839 * A307841 A307842 A307844 KEYWORD nonn,more AUTHOR Eduard I. Vatutin, May 01 2019 STATUS approved

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Last modified July 21 04:40 EDT 2019. Contains 325189 sequences. (Running on oeis4.)