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A287397 Start with 0 and repeatedly substitute 0->012, 1->210, 2->102. 5
0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 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->102 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, 012210021, 012210021021210012012021210.

MATHEMATICA

s = Nest[Flatten[# /. {0->{0, 1, 2}, 1->{2, 1, 0}, 2->{1, 0, 2}}] &, {0}, 9]; (*A287397*)

Flatten[Position[s, 0]]; (*A287398*)

Flatten[Position[s, 1]]; (*A287399*)

Flatten[Position[s, 2]]; (*A287400*)

CROSSREFS

Cf. A287385. A287398, A287399, A287400.

Sequence in context: A287331 A179769 A227193 * A111407 A084440 A179287

Adjacent sequences:  A287394 A287395 A287396 * A287398 A287399 A287400

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, May 25 2017

STATUS

approved

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Last modified October 20 17:39 EDT 2017. Contains 293648 sequences.