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A287455 Start with 0 and repeatedly substitute 0->012, 1->201, 2->210. 4
0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0 (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->210 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, 012201210, 012201210210012201210201012.

MATHEMATICA

s = Nest[Flatten[# /. {0->{0, 1, 2}, 1->{2, 0, 1}, 2->{2, 1, 0}}] &, {0}, 9]; (*A287455*)

Flatten[Position[s, 0]]; (*A287456*)

Flatten[Position[s, 1]]; (*A287457*)

Flatten[Position[s, 2]]; (*A287458*)

CROSSREFS

Cf. A2887573, A287456, A287457, A287458.

Sequence in context: A237291 A146093 A091269 * A216789 A097951 A256171

Adjacent sequences:  A287452 A287453 A287454 * A287456 A287457 A287458

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, May 30 2017

STATUS

approved

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Last modified October 21 05:29 EDT 2017. Contains 293679 sequences.