A284878 Fixed point of the morphism 0 -> 01, 1 -> 0110.

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, 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, 0, 1, 1, 0, 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-> 010110 -> 010110010110011001 ->

Mathematica

s = Nest[Flatten[# /. {0 -> {0, 1}, 1 -> {0, 1, 1, 0}}] &, {0}, 7] (* A284878 *)
Flatten[Position[s, 0]]  (* A284879 *)
Flatten[Position[s, 1]]  (* A284880 *)

Crossrefs

Cf. A284879, A284880.

Sequence in context: A188970 A244992 A286685 * A118006 A372258 A285196

Adjacent sequences: A284875 A284876 A284877 * A284879 A284880 A284881

Keyword

nonn,easy

Author

Clark Kimberling, Apr 15 2017

Status

approved