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A003291 Number of n-step walks on hexagonal lattice.
(Formerly M1613)
0
2, 6, 16, 46, 140, 464, 1580, 5538, 19804, 71884, 264204, 980778, 3671652, 13843808 (list; graph; refs; listen; history; internal format)
OFFSET

2,1

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: A092687 A094039 A165431 * A148442 A190729 A071726

Adjacent sequences:  A003288 A003289 A003290 * A003292 A003293 A003294

KEYWORD

nonn,walk

AUTHOR

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

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Last modified February 17 19:13 EST 2012. Contains 206085 sequences.