A007201 Number of self-avoiding walks on hexagonal lattice.

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

Offset: 3

Author

Simon Plouffe

Keywords

• nonn
• walk

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

• 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.

Extensions

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