A007201 Number of self-avoiding walks on hexagonal lattice. (Formerly M5146)

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

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), 3525-3541, doi:10.1088/0305-4470/13/11/023.

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