A158651 Number of directed Hamiltonian paths on the n X n king graph.

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

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