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A287451 Start with 0 and repeatedly substitute 0->012, 1->201, 2->120. 5
0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,3
COMMENTS
This is the fixed point of the morphism 0->012, 1->201, 2->120 starting with 0. Let u be the (nonperiodic) sequence of positions of 0, and likewise, v for 1 and w for 2; then u(n)/n -> 3, v(n)/n -> 3, w(n)/n -> 3.
See A287385 for a guide to related sequences.
LINKS
EXAMPLE
First three iterations of the morphism: 012, 012201120, 012201120120012201201120012.
MATHEMATICA
s = Nest[Flatten[# /. {0->{0, 1, 2}, 1->{2, 0, 1}, 2->{1, 2, 0}}] &, {0}, 9]; (*A287451*)
Flatten[Position[s, 0]]; (*A287452*)
Flatten[Position[s, 1]]; (*A287453*)
Flatten[Position[s, 2]]; (*A287454*)
CROSSREFS
Sequence in context: A156311 A270740 A189463 * A113414 A286653 A283308
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, May 30 2017
STATUS
approved

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Last modified March 19 02:58 EDT 2024. Contains 370952 sequences. (Running on oeis4.)