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A120443 Number of Hamiltonian paths on n X n square grid of points. 3
1, 4, 20, 276, 4324, 229348, 13535280, 3023313284, 745416341496, 730044829512632, 786671485270308848, 3452664855804347354220, 16652005717670534681315580, 331809088406733654427925292528, 7263611367960266490262600117251524 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

REFERENCES

J. L. Jacobsen, Exact enumeration of Hamiltonian circuits, walks and chains in two and three dimensions, J. Phys. A: Math. Theor. 40 (2007) 14667-14678.

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.

LINKS

Jesper L. Jacobsen (jesper.jacobsen(AT)u-psud.fr), Dec 12 2007, Table of n, a(n) for n = 1..17

Index entries for sequences related to graphs, Hamiltonian

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)u-psud.fr), Dec 12 2007

STATUS

approved

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Last modified April 25 03:36 EDT 2014. Contains 240994 sequences.