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A007201
Number of self-avoiding 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
OFFSET
3,1
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
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
LINKS
S. Redner, Distribution functions in the interior of polymer chains, J. Phys. A 13 (1980), 3525-3541, doi:10.1088/0305-4470/13/11/023.
CROSSREFS
Cf. A007200.
Sequence in context: A101861 A280304 A168538 * A228874 A211328 A304375
KEYWORD
nonn,walk
AUTHOR
EXTENSIONS
a(15)-a(20) from Sean A. Irvine, Nov 20 2017
STATUS
approved