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A064297 Triangle of self-avoiding rook paths joining opposite corners of n X k board. 5
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: A205870 A371062 A354116 * A358501 A323493 A052661
KEYWORD
nonn,tabl
AUTHOR
Henry Bottomley, Sep 05 2001
STATUS
approved

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Last modified May 25 10:31 EDT 2024. Contains 372787 sequences. (Running on oeis4.)