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A287401 Start with 0 and repeatedly substitute 0->012, 1->210, 2->120. 5
0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

This is the fixed point of the morphism 0->012, 1->210, 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

Clark Kimberling, Table of n, a(n) for n = 1..10000

Index entries for sequences that are fixed points of mappings

EXAMPLE

First three iterations of the morphism:  012, 012210102, 012210102102210012210012102.

MATHEMATICA

s = Nest[Flatten[# /. {0->{0, 1, 2}, 1->{2, 1, 0}, 2->{1, 2, 0}}] &, {0}, 9]; (*A287401*)

Flatten[Position[s, 0]]; (*A189728*)

Flatten[Position[s, 1]]; (*A287403*)

Flatten[Position[s, 2]]; (*A287404*)

CROSSREFS

Cf. A189728, A287385, A287403, A287404.

Sequence in context: A163543 A180009 A180010 * A003406 A226289 A107063

Adjacent sequences:  A287398 A287399 A287400 * A287402 A287403 A287404

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, May 25 2017

STATUS

approved

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Last modified October 20 15:44 EDT 2017. Contains 293626 sequences.