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 A064297 Triangle of self-avoiding rook paths joining opposite corners of n X k board. 4
 1, 1, 2, 1, 4, 12, 1, 8, 38, 184, 1, 16, 125, 976, 8512, 1, 32, 414, 5382, 79384, 1262816, 1, 64, 1369, 29739, 752061, 20562673, 575780564, 1, 128, 4522, 163496, 7110272, 336067810, 16230458696, 789360053252, 1, 256, 14934, 896476, 67005561 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 REFERENCES S. R. Finch, Mathematical Constants, Cambridge, 2003, pp. 331-339. LINKS Ruben Grønning Spaans, Triangle of rows 1 to 20, flattened Steven R. Finch, Self-Avoiding Walks of a Rook on a Chessboard [From Steven Finch, Apr 20 2019] Steven R. Finch, Self-Avoiding Walks of a Rook [From Steven Finch, Apr 20 2019; mentioned in Finch's "Gammel" link above] Steven R. Finch, Table of Non-Overlapping Rook Paths [From Steven Finch, Apr 20 2019; mentioned in Finch's "Gammel" link above] Ruben Grønning Spaans, C program EXAMPLE Triangle starts 1, 1, 2, 1, 4, 12, 1, 8, 38, 184, 1, 16, 125, 976, 8512, 1, 32, 414, 5382, 79384, 1262816, 1, 64, 1369, 29739, 752061, 20562673, 575780564, 1, 128, 4522, 163496, 7110272, 336067810, ... CROSSREFS Half of A064298. Row/column combinations include A000012, A000079, A006192, A007786, A007787, A145403. Right hand column is A007764. Cf. A271465. Sequence in context: A323937 A088137 A205870 * A323493 A052661 A225117 Adjacent sequences:  A064294 A064295 A064296 * A064298 A064299 A064300 KEYWORD nonn,tabl AUTHOR Henry Bottomley, Sep 05 2001 STATUS approved

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Last modified April 14 21:21 EDT 2021. Contains 342962 sequences. (Running on oeis4.)