A284905 Fixed point of the morphism 0 -> 01, 1 -> 1001.

0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1

Offset

1

Comments

This is a 3-automatic sequence. See Allouche et al. link. - Michel Dekking, Oct 05 2020

Links

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

J.-P. Allouche, F. M. Dekking, and M. Queffélec, Hidden automatic sequences, arXiv:2010.00920 [math.NT], 2020.

Index entries for sequences that are fixed points of mappings

Example

0 -> 01-> 011001 -> 011001100101011001 ->

Mathematica

s = Nest[Flatten[# /. {0 -> {0, 1}, 1 -> {1, 0, 0, 1}}] &, {0}, 6] (* A284905 *)
Flatten[Position[s, 0]]  (* A284906 *)
Flatten[Position[s, 1]]  (* A284907 *)

Crossrefs

Cf. A284906, A284907.

Sequence in context: A079336 A288670 A057215 * A291197 A269927 A374468

Adjacent sequences: A284902 A284903 A284904 * A284906 A284907 A284908

Keyword

nonn,easy

Author

Clark Kimberling, Apr 17 2017

Status

approved