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A003289 Number of n-step walks on hexagonal lattice.
(Formerly M1229)
+0
2
1, 2, 4, 10, 30, 98, 328, 1140, 4040, 14542, 53060, 195624, 727790, 2728450, 10296720, 39084190, 149115456 (list; graph; listen)
OFFSET

1,2

COMMENT

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.

LINKS

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

CROSSREFS

Cf. A001335.

Sequence in context: A076315 A102667 A026119 this_sequence A087161 A007558 A094957

Adjacent sequences: A003286 A003287 A003288 this_sequence A003290 A003291 A003292

KEYWORD

nonn,walk

AUTHOR

njas

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.


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