

A120443


Number of Hamiltonian paths on n X n square grid of points.


5



1, 4, 20, 276, 4324, 229348, 13535280, 3023313284, 745416341496, 730044829512632, 786671485270308848, 3452664855804347354220, 16652005717670534681315580, 331809088406733654427925292528, 7263611367960266490262600117251524
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OFFSET

1,2


LINKS

Jesper L. Jacobsen, Table of n, a(n) for n = 1..17
J. L. Jacobsen, Exact enumeration of Hamiltonian circuits, walks and chains in two and three dimensions, J. Phys. A: Math. Theor. 40 (2007) 1466714678.
J.M. Mayer, C. Guez and J. Dayantis, Exact computer enumeration of the number of Hamiltonian paths in small square plane lattices, Physical Review B, Vol. 42 Number 1, 1990.
Index entries for sequences related to graphs, Hamiltonian


FORMULA

a(n) = A096969(n) / 2 for n > 1.


EXAMPLE

a(3) = 20.


CROSSREFS

Cf. A003763.
Sequence in context: A222655 A000847 A188810 * A053400 A120599 A012797
Adjacent sequences: A120440 A120441 A120442 * A120444 A120445 A120446


KEYWORD

nonn,walk


AUTHOR

David Bevan, Jul 19 2006


EXTENSIONS

More terms from Jesper L. Jacobsen (jesper.jacobsen(AT)upsud.fr), Dec 12 2007


STATUS

approved



