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

0,2

COMMENT

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

REFERENCES

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

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

LINKS

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

CROSSREFS

Sequence in context: A157519 A075886 A001412 this_sequence A006819 A003948 A105488

Adjacent sequences: A006815 A006816 A006817 this_sequence A006819 A006820 A006821

KEYWORD

nonn,walk

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified November 24 19:42 EST 2009. Contains 167435 sequences.


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