login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A287411 Start with 0 and repeatedly substitute 0->012, 1->120, 2->021. 5
0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

This is the fixed point of the morphism 0->012, 1->120, 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

Index entries for sequences that are fixed points of mappings

EXAMPLE

First three iterations of the morphism:  012, 012120021, 012120021120021012012021120.

MATHEMATICA

s = Nest[Flatten[# /. {0->{0, 1, 2}, 1->{1, 2, 0}, 2->{0, 2, 1}}] &, {0}, 9]; (*A287411*)

Flatten[Position[s, 0]]; (*A287412*)

Flatten[Position[s, 1]]; (*A287413*)

Flatten[Position[s, 2]]; (*A287414*)

CROSSREFS

Cf. A287385, A287412, A287413, A287414.

Sequence in context: A108803 A050601 A101650 * A053796 A029391 A240753

Adjacent sequences:  A287408 A287409 A287410 * A287412 A287413 A287414

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, May 25 2017

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified November 14 12:21 EST 2019. Contains 329114 sequences. (Running on oeis4.)