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Search: id:A064298
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| A064298 |
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Square array read by antidiagonals of self-avoiding rook paths joining opposite corners of n X k board. |
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+0 3
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| 1, 1, 1, 1, 2, 1, 1, 4, 4, 1, 1, 8, 12, 8, 1, 1, 16, 38, 38, 16, 1, 1, 32, 125, 184, 125, 32, 1, 1, 64, 414, 976, 976, 414, 64, 1, 1, 128, 1369, 5382, 8512, 5382, 1369, 128, 1, 1, 256, 4522, 29739, 79384, 79384, 29739, 4522, 256, 1, 1, 512, 14934, 163496, 752061
(list; table; graph; listen)
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OFFSET
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1,5
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REFERENCES
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S. R. Finch, Mathematical Constants, Cambridge, 2003, pp. 331-339.
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LINKS
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S. R. Finch, Self-Avoiding Walks of a Rook on a Chessboard
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EXAMPLE
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Rows start (1,1,1,1,1,...), (1,2,4,8,16,...), (1,4,12,38,125,...) etc.
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CROSSREFS
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A064297 together with its transpose. Rows and columns include A000012, A000079, A006192, A007786, A007787. Main diagonal is A007764.
Sequence in context: A137854 A062715 A100631 this_sequence A099594 A117401 A034372
Adjacent sequences: A064295 A064296 A064297 this_sequence A064299 A064300 A064301
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KEYWORD
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nonn,tabl
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AUTHOR
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Henry Bottomley (se16(AT)btinternet.com), Sep 05 2001
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