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A005550 Number of n-step self-avoiding walks on hexagonal lattice from (0,0) to (1,2).
(Formerly M3012)
7
3, 16, 57, 184, 601, 2036, 7072, 25088, 90503, 330836, 1222783, 4561058, 17145990, 64888020, 246995400, 944986464, 3631770111, 14013725268, 54268946152, 210842757798, 821569514032, 3209925357702, 12572219405144 (list; graph; refs; listen; history; text; internal format)
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
D. S. McKenzie, The end-to-end length distribution of self-avoiding walks, J. Phys. A 6 (1973), 338-352.
CROSSREFS
Sequence in context: A173052 A027540 A099851 * A210323 A062474 A073999
KEYWORD
nonn,walk,more
AUTHOR
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

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Last modified June 18 04:26 EDT 2024. Contains 373468 sequences. (Running on oeis4.)