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A005553 Number of n-step walks on hexagonal lattice.
(Formerly M4235)
0
6, 40, 174, 644, 2268, 8020, 28666, 103696, 379450, 1402276, 5227366, 19633732 (list; graph; refs; listen; history; internal format)
OFFSET

4,1

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: A027777 A073773 A001919 * A055344 A059021 A026077

Adjacent sequences:  A005550 A005551 A005552 * A005554 A005555 A005556

KEYWORD

nonn,walk

AUTHOR

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

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Last modified February 15 13:09 EST 2012. Contains 205789 sequences.