

A158651


Number of directed Hamiltonian paths on the n X n king graph.


3



1, 24, 784, 343184, 729237344, 13089822163800, 1659110130720710584, 1635069460917798701270872, 12308784500036123518164726610224, 721833220650131890343295654587745095696, 330596986686626406483380599328509951896788808144
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OFFSET

1,2


COMMENTS

Number of open directed king's tours on the n X n board.


LINKS

Table of n, a(n) for n=1..11.
Ville H. Pettersson, Enumerating Hamiltonian Cycles, The Electronic Journal of Combinatorics, Volume 21, Issue 4, 2014.
Eric Weisstein's World of Mathematics, Hamiltonian Path
Eric Weisstein's World of Mathematics, King Graph
Index entries for sequences related to graphs, Hamiltonian


CROSSREFS

Cf. A003763, A096969, A137891, A140521.
Sequence in context: A269209 A270252 A275635 * A265884 A204559 A078522
Adjacent sequences: A158648 A158649 A158650 * A158652 A158653 A158654


KEYWORD

nonn,more


AUTHOR

Eric W. Weisstein, Mar 23 2009


EXTENSIONS

a(5) from Max Alekseyev, May 03 2009
a(6)a(11) from Andrew Howroyd, Nov 15 2015


STATUS

approved



