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A003290 Number of n-step self-avoiding walks on hexagonal lattice.
(Formerly M4119)
0
1, 6, 18, 50, 156, 508, 1724, 6018, 21440, 77632, 284706, 1055162, 3944956, 14858934 (list; graph; refs; listen; history; internal format)
OFFSET

2,2

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

D. S. McKenzie, The end-to-end length distribution of self-avoiding walks, J. Phys. A 6 (1973), 338-352.

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: A163765 A179754 A086926 * A075650 A015645 A001216

Adjacent sequences:  A003287 A003288 A003289 * A003291 A003292 A003293

KEYWORD

nonn,walk,more

AUTHOR

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

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Last modified February 17 08:21 EST 2012. Contains 205998 sequences.