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 A307167 Maximum number of loops in a diagonal Latin square of order n. 3
 1, 0, 0, 12, 14, 27, 53 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,4 COMMENTS A loop in a Latin square is a sequence of cells v1=L[i1,j1] -> v2=L[i1,j2] -> v1=L[i2,j2] -> ... -> v2=L[im,j1] -> v1=L[i1,j1] of length 2*m that consists of a pair of values {v1, v2}. LINKS E. I. Vatutin, Discussion about properties of diagonal Latin squares at forum.boinc.ru (in Russian) EXAMPLE For example, the square   2 4 3 5 0 1   1 0 4 3 2 5   0 2 5 4 1 3   5 3 0 1 4 2   4 5 1 2 3 0   3 1 2 0 5 4 has a loop   2 4 . . . .   . . . . . .   . 2 . 4 . .   . . . . . .   4 . . 2 . .   . . . . . . consisting of the sequence of cells L[1,1]=2 -> L[1,2]=4 -> L[3,2]=2 -> L[3,4]=4 -> L[5,4]=2 -> L[5,1]=4 -> L[1,1]=2 with length 6. The total number of loops for this square is 21. CROSSREFS Cf. A307166. Sequence in context: A175886 A181451 A022326 * A238228 A214504 A127401 Adjacent sequences:  A307163 A307164 A307166 * A307168 A307169 A307170 KEYWORD nonn,more AUTHOR Eduard I. Vatutin, Mar 27 2019 STATUS approved

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Last modified July 22 05:47 EDT 2019. Contains 325213 sequences. (Running on oeis4.)