|
Search: id:A001668
|
|
|
| A001668 |
|
Number of self-avoiding n-step walks on honeycomb lattice.
(Formerly M2559 N1013)
|
|
+0
1
|
|
| 1, 3, 6, 12, 24, 48, 90, 174, 336, 648, 1218, 2328, 4416, 8388, 15780, 29892, 56268, 106200, 199350, 375504, 704304, 1323996, 2479692, 4654464, 8710212, 16328220, 30526374, 57161568, 106794084, 199788408, 372996450, 697217994, 1300954248
(list; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
REFERENCES
|
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
M. E. Fisher and M. F. Sykes, Excluded-volume problem and the Ising model of ferromagnetism, Phys. Rev. 114 (1959), 45-58.
M. F. Sykes, Some counting theorems in the theory of the Ising problem and the excluded volume problem, J. Math. Phys., 2 (1961), 52-62.
M. F. Sykes et al., The asymptotic behavior of selfavoiding walks and returns on a lattice, J. Phys. A 5 (1972), 653-660.
|
|
LINKS
|
D. MacDonald, D. L. Hunter, K. Kelly and N. Jan, Self-avoiding walks in two to five dimensions: exact enumerations and series study, J Phys A: Math Gen 25 (1992) 1429-1440. [Gives 42 terms]
|
|
CROSSREFS
|
Sequence in context: A115807 A102255 A002910 this_sequence A080616 A090572 A033893
Adjacent sequences: A001665 A001666 A001667 this_sequence A001669 A001670 A001671
|
|
KEYWORD
|
nonn,walk,nice
|
|
AUTHOR
|
N. J. A. Sloane (njas(AT)research.att.com).
|
|
EXTENSIONS
|
Sykes et al. give 34 terms.
More terms from Pab Ter (pabrlos(AT)yahoo.com), May 06 2004
|
|
|
Search completed in 0.002 seconds
|
