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A007275 Expansion for generalized walks on hexagonal lattice.
(Formerly M4223)
0
1, 6, 36, 216, 1296, 7776, 46440, 276054, 1633848, 9633366, 56616140, 331847200, 1940717000, 11327957196, 66010769382 (list; graph; refs; listen; history; 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, C. Byrnes and N. E. Frankel, A generalized self-avoiding walk, J. Phys. A 17 (1984), L457-L461.

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

LINKS

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

CROSSREFS

Sequence in context: A124535 A007274 A126634 * A206452 A000400 A097681

Adjacent sequences:  A007272 A007273 A007274 * A007276 A007277 A007278

KEYWORD

nonn,walk

AUTHOR

Simon Plouffe (simon.plouffe(AT)gmail.com)

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Last modified February 14 09:18 EST 2012. Contains 205614 sequences.