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A101666 Fixed point of morphism 0 -> 01, 1 -> 12, 2 -> 10, starting with 0. 3
0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

COMMENTS

Let u be the sequence of positions of 0, and likewise, v for 1 and w for 2. Let U, V, W be the limits of u(n)/n, v(n)/n, w(n)/n, respectively. Then U = 4, V = 2, W = 4. - Clark Kimberling, May 25 2017

LINKS

Table of n, a(n) for n=0..104.

Index entries for sequences that are fixed points of mappings

EXAMPLE

The first five iterates of the morphism are as follows:

01

0112

01121210

0112121012101201

01121210121012011210120112100112

- Clark Kimberling, May 25 2017

MATHEMATICA

Nest[ Function[ l, {Flatten[(l /. {0 -> {0, 1}, 1 -> {1, 2}, 2 -> {1, 0}}) ]}], {0}, 7] (* Robert G. Wilson v, Mar 03 2005 *)

CROSSREFS

Cf. A287373, A287374, A287375.

Sequence in context: A102565 A076826 A137178 * A035224 A272677 A165579

Adjacent sequences:  A101663 A101664 A101665 * A101667 A101668 A101669

KEYWORD

nonn,easy

AUTHOR

Ralf Stephan, Dec 11 2004

STATUS

approved

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Last modified October 20 05:42 EDT 2017. Contains 293601 sequences.