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A006818 Trails of length n on hexagonal lattice.
(Formerly M4203)
0
1, 6, 30, 150, 738, 3570, 17118, 81498, 385710, 1817046, 8528478, 39903462, 186198642, 866861394, 4027766490, 18681900270, 86518735722 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

The hexagonal lattice is the familiar 2-dimensional lattice in which each point has 6 neighbors. This is sometimes called the triangular lattice.

REFERENCES

A. J. Guttmann, Lattice trails II: numerical results, J. Phys. A 22 (1989), 575-588.

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

LINKS

Table of n, a(n) for n=0..16.

G. Nebe and N. J. A. Sloane, Home page for hexagonal (or triangular) lattice A2

CROSSREFS

Sequence in context: A075886 A001412 A162937 * A006819 A163317 A163922

Adjacent sequences:  A006815 A006816 A006817 * A006819 A006820 A006821

KEYWORD

nonn,walk

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified May 22 19:13 EDT 2013. Contains 225562 sequences.