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A000532
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Number of Hamiltonian paths from NW to SW corners in an n X n grid.
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14
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1, 1, 2, 8, 86, 1770, 88418, 8934966, 2087813834, 1013346943033, 1111598871478668, 2568944901392936854, 13251059359839620127088, 145194816279817259193401518, 3524171261632305641165676374930
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history;
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internal format)
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OFFSET
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1,3
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COMMENTS
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Walks reaching each cell exactly once.
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LINKS
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KeyTo9(AT)Fans, Table of n, a(n) for n = 1..18
KeyTo9(AT)Fans, Counting paths in a grid - Chinese web page giving the sequence up to 18 items.
Douglas M. McKenna, Tendril Motifs for Space-Filling, Half-Domino Curves, in: Bridges Finland Conference Proceedings, 2016, pp. 119-126.
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CROSSREFS
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Main diagonal of A271592.
Cf. A181688, A181689, A014524, A014585.
Cf. A001184, A145157, A120443, A003763, A271507, A007764, A121785, A121789.
Sequence in context: A261730 A052456 A276991 * A333366 A083831 A134245
Adjacent sequences: A000529 A000530 A000531 * A000533 A000534 A000535
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KEYWORD
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nonn,walk
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AUTHOR
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Russ Cox
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EXTENSIONS
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More terms from Zhao Hui Du, Jul 08 2008
Edited by Franklin T. Adams-Watters, Jul 03 2009
Name clarified by Andrew Howroyd, Apr 10 2016
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STATUS
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approved
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