A005553 Number of n-step self-avoiding walks on hexagonal lattice from (0,0) to (2,2). (Formerly M4235)

6, 40, 174, 644, 2268, 8020, 28666, 103696, 379450, 1402276, 5227366, 19633732, 74230146, 282273744, 1078902168, 4142578832, 15970882784, 61798680076, 239921541412, 934258870200, 3648030627298, 14280474288676

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, A005552.

Sequence in context: A073773 A001919 A342404 * A335232 A055344 A210424

Adjacent sequences: A005550 A005551 A005552 * A005554 A005555 A005556

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