

A007201


Number of selfavoiding walks on hexagonal lattice.
(Formerly M5146)


2



24, 84, 264, 1128, 4728, 20304, 86496, 369732, 1573608, 6703068, 28474704, 120922272, 512524704, 2171836752, 9190071984, 38866395264, 164191075824, 693230730864
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OFFSET

3,1


COMMENTS

The hexagonal lattice is the familiar 2dimensional lattice in which each point has 6 neighbors. This is sometimes called the triangular lattice.


REFERENCES

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).


LINKS

Table of n, a(n) for n=3..20.
G. Nebe and N. J. A. Sloane, Home page for hexagonal (or triangular) lattice A2
S. Redner, Distribution functions in the interior of polymer chains, J. Phys. A 13 (1980), 35253541, doi:10.1088/03054470/13/11/023.


CROSSREFS

Cf. A007200.
Sequence in context: A101861 A280304 A168538 * A228874 A211328 A304375
Adjacent sequences: A007198 A007199 A007200 * A007202 A007203 A007204


KEYWORD

nonn,walk


AUTHOR

Simon Plouffe


EXTENSIONS

a(15)a(20) from Sean A. Irvine, Nov 20 2017


STATUS

approved



