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 A092237 Maximum number of intercalates in a Latin square of order n. 5
 0, 1, 0, 12, 4, 27, 42, 112, 72 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,4 COMMENTS An intercalate is a 2 X 2 subsquare of a Latin square. a(10) >= 125, a(11) >= 172, a(12) >= 324. REFERENCES I. Wanless, Private communication, 2003. LINKS Table of n, a(n) for n=1..9. R. Bean, Critical sets in Latin squares and associated structures, Ph.D. Thesis, The University of Queensland, 2001. K. Heinrich and W. Wallis, The maximum number of intercalates in a Latin square, Combinatorial Math. VIII, Proc. 8th Australian Conf. Combinatorics, 1980, 221-233. Index entries for sequences related to Latin squares and rectangles FORMULA If n is a power of 2, a(n) = n^2*(n-1)/4; if n is one less than a power of 2, a(n) = n*(n-1)*(n-3)/4. CROSSREFS Cf. A091323, A090741. Sequence in context: A199693 A166206 A040137 * A367323 A081987 A327972 Adjacent sequences: A092234 A092235 A092236 * A092238 A092239 A092240 KEYWORD hard,nonn,more AUTHOR Richard Bean, Feb 17 2004 STATUS approved

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Last modified August 8 03:17 EDT 2024. Contains 375018 sequences. (Running on oeis4.)