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 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 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->102, 2->021 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 Clark Kimberling, Table of n, a(n) for n = 1..10000 EXAMPLE First three iterations of the morphism:  012, 012102021, 012102021102012021012021102. MATHEMATICA s = Nest[Flatten[# /. {0->{0, 1, 2}, 1->{1, 0, 2}, 2->{0, 2, 1}}] &, {0}, 9]; (*A287516*) Flatten[Position[s, 0]]; (*A287517*) Flatten[Position[s, 1]]; (*A287518*) Flatten[Position[s, 2]]; (*A287519*) CROSSREFS Cf. A287385, A287517, A287518, A287519. Sequence in context: A127476 A140397 A120614 * A252055 A324144 A320836 Adjacent sequences:  A287513 A287514 A287515 * A287517 A287518 A287519 KEYWORD nonn,easy AUTHOR Clark Kimberling, May 30 2017 STATUS approved

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Last modified May 25 18:25 EDT 2022. Contains 354071 sequences. (Running on oeis4.)