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A100619 Fixed point of the morphism 1 -> 12, 2 -> 31, 3 -> 1, starting from a(1) = 1. 7
1, 2, 3, 1, 1, 1, 2, 1, 2, 1, 2, 3, 1, 1, 2, 3, 1, 1, 2, 3, 1, 1, 1, 2, 1, 2, 3, 1, 1, 1, 2, 1, 2, 3, 1, 1, 1, 2, 1, 2, 1, 2, 3, 1, 1, 2, 3, 1, 1, 1, 2, 1, 2, 1, 2, 3, 1, 1, 2, 3, 1, 1, 1, 2, 1, 2, 1, 2, 3, 1, 1, 2, 3, 1, 1, 2, 3, 1, 1, 1, 2, 1, 2, 3, 1, 1, 1, 2, 1, 2, 1, 2, 3, 1, 1, 2, 3, 1, 1, 2, 3, 1, 1, 1, 2 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
Sirvent comments that in spite of the similarity of this map to the one in A092782, the two sequences have very different properties. They have different complexities, different Rauzy fractals, etc.
LINKS
Scott Balchin and Dan Rust, Computations for Symbolic Substitutions, Journal of Integer Sequences, Vol. 20 (2017), Article 17.4.1.
Victor F. Sirvent, Semigroups and the self-similar structure of the flipped tribonacci substitution, Applied Math. Letters, 12 (1999), 25-29.
Victor F. Sirvent, The common dynamics of the Tribonacci substitutions, Bulletin of the Belgian Mathematical Society-Simon Stevin 7.4 (2000): 571-582.
MAPLE
f(1):= (1, 2): f(2):= (3, 1): f(3):= (1): B:= [1]:
for i from 1 to 12 do B:= map(f, B) od:
B; # N. J. A. Sloane, Aug 17 2018
MATHEMATICA
Nest[ Function[l, {Flatten[(l /. {1 -> {1, 2}, 2 -> {3, 1}, 3 -> {1}})]}], {1}, 7][[1]] (* Robert G. Wilson v, Feb 26 2005 *)
CROSSREFS
Cf. A092782.
Sequence in context: A086197 A139336 A252168 * A211984 A275471 A094006
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, Dec 03 2004
EXTENSIONS
More terms from Robert G. Wilson v, Dec 05 2004
STATUS
approved

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Last modified July 24 02:06 EDT 2024. Contains 374575 sequences. (Running on oeis4.)