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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

S. R. Finch, Self-Avoiding Walks of a Rook on a Chessboard

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: A111479 A088137 A205870 * A052661 A225117 A088624

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 June 21 16:00 EDT 2018. Contains 305623 sequences. (Running on oeis4.)