A005550 Number of n-step self-avoiding walks on hexagonal lattice from (0,0) to (1,2). (Formerly M3012)

3, 16, 57, 184, 601, 2036, 7072, 25088, 90503, 330836, 1222783, 4561058, 17145990, 64888020, 246995400, 944986464, 3631770111, 14013725268, 54268946152, 210842757798, 821569514032, 3209925357702, 12572219405144

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..25.

D. S. McKenzie, The end-to-end length distribution of self-avoiding walks, J. Phys. A 6 (1973), 338-352.

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

Crossrefs

Cf. A001335, A003289, A003290, A003291, A005549, A005551, A005552, A005553.

Sequence in context: A173052 A027540 A099851 * A210323 A062474 A073999

Adjacent sequences: A005547 A005548 A005549 * A005551 A005552 A005553

Keyword

nonn,walk,more

Author

N. J. A. Sloane

Extensions

More terms and title improved by Sean A. Irvine, Feb 15 2016

a(23)-a(25) from Bert Dobbelaere, Jan 15 2019

Status

approved