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A007274 Expansion for generalized walks on hexagonal lattice.
(Formerly M4222)
0
1, 6, 36, 216, 1260, 7206, 40650, 227256, 1262832, 6983730, 38470220, 211220800, 1156490000, 6317095284, 34435495872 (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: A036162 A061708 A124535 * A126634 A007275 A206452

Adjacent sequences:  A007271 A007272 A007273 * A007275 A007276 A007277

KEYWORD

nonn,walk

AUTHOR

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

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Last modified February 15 13:57 EST 2012. Contains 205810 sequences.