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A064298 Square array read by antidiagonals of self-avoiding rook paths joining opposite corners of n X k board. +0
3
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)
OFFSET

1,5

REFERENCES

S. R. Finch, Mathematical Constants, Cambridge, 2003, pp. 331-339.

LINKS

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

EXAMPLE

Rows start (1,1,1,1,1,...), (1,2,4,8,16,...), (1,4,12,38,125,...) etc.

CROSSREFS

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

KEYWORD

nonn,tabl

AUTHOR

Henry Bottomley (se16(AT)btinternet.com), Sep 05 2001

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Last modified September 6 16:04 EDT 2008. Contains 143483 sequences.


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