login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A001335 Number of n-step polygons on hexagonal lattice.
(Formerly M4828 N2065)
9
0, 0, 12, 24, 60, 180, 588, 1968, 6840, 24240, 87252, 318360, 1173744, 4366740, 16370700, 61780320, 234505140, 894692736, 3429028116, 13195862760, 50968206912 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

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

M. E. Fisher and M. F. Sykes, Excluded-volume problem and the Ising model of ferromagnetism, Phys. Rev. 114 (1959), 45-58.

A. J. Guttmann, personal communication.

A. J. Guttmann, On Two-Dimensional Self-Avoiding Random Walks, J. Phys. A 17 (1984), 455-468.

J. L. Martin, M. F. Sykes and F. T. Hioe, Probability of initial ring closure for self-avoiding walks on the face-centered cubic and triangular lattices, J. Chem. Phys., 46 (1967), 3478-3481.

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

M. F. Sykes et al., The number of self-avoiding walks on a lattice, J. Phys. A 5 (1972), 661-666.

LINKS

Table of n, a(n) for n=1..21.

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

Unknown author, Tables of self-avoiding walks, [Annotated scanned copy. Unfortunately the author and title of this document have been mislaid]

CROSSREFS

Equals 6*A003289(n-1), n > 1.

Sequence in context: A230355 A063975 A227895 * A206026 A145899 A172011

Adjacent sequences:  A001332 A001333 A001334 * A001336 A001337 A001338

KEYWORD

nonn,nice,walk

AUTHOR

N. J. A. Sloane

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified February 22 11:30 EST 2018. Contains 299452 sequences. (Running on oeis4.)