This site is supported by donations to The OEIS Foundation.

 Please make a donation to keep the OEIS running. We are now in our 55th year. In the past year we added 12000 new sequences and reached 8000 citations (which often say "discovered thanks to the OEIS"). We need to raise money to hire someone to manage submissions, which would reduce the load on our editors and speed up editing. Other ways to donate

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified December 15 00:30 EST 2019. Contains 329988 sequences. (Running on oeis4.)