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 A165134 Number of knight's paths visiting each square of a chessboard exactly once. 5
 1, 0, 0, 0, 1728, 6637920, 165575218320, 19591828170979904 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,5 LINKS Stefan Behnel, The Knight's Paths A. Chernov, Open knight's tours P. Hingston, G. Kendall, Enumerating knight's tours using an ant colony algorithm, The 2005 IEEE Congress on Evolutionary Computation, 2 (2006), 1003-1010 G. Stertenbrink, Number of Knight's Tours Gheorghe Coserea, Solutions for 5x5 chessboard EXAMPLE From Gheorghe Coserea, Oct 08 2016: (Start) For n=5 the numbers in the table below give the number of knight's paths starting at the respective position on the 5x5 chessboard.  In total there are a(5) = 304*4 + 56*8 + 64 = 1728 solutions.     [1] [2] [3] [4] [5] [1] 304 0   56  0   304 [2] 0   56  0   56  0 [3] 56  0   64  0   56 [4] 0   56  0   56  0 [5] 304 0   56  0   304 (End) CROSSREFS Cf. A118067, A079137, A083386, A001230. Sequence in context: A289210 A289209 A114767 * A013797 A013864 A112140 Adjacent sequences:  A165131 A165132 A165133 * A165135 A165136 A165137 KEYWORD nonn,hard,more AUTHOR [No name given] (c.candide(AT)free.fr), Sep 04 2009 EXTENSIONS a(7) from Guenter Stertenbrink, added by Alex Chernov, Sep 01 2013 a(1)=1, a(2)=0 prepended by Max Alekseyev, Sep 22 2013 a(8) from Alex Chernov, May 10 2014 STATUS approved

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Last modified November 15 09:13 EST 2017. Contains 294710 sequences.