A005552 Number of n-step self-avoiding walks on hexagonal lattice from (0,0) to (1,3). (Formerly M3657)

4, 35, 166, 633, 2276, 8107, 29086, 105460, 386320, 1428664, 5327738, 20014741, 75677726, 287784832, 1099944240, 4223170456, 16280541834, 62992268833, 244536402984, 952154191644, 3717618386556, 14551788319328

Offset

4,1

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=4..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, A005550, A005551, A005553.

Sequence in context: A025195 A350407 A362346 * A127519 A354855 A128811

Adjacent sequences: A005549 A005550 A005551 * A005553 A005554 A005555

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