A284935 Fixed point of the morphism 0 -> 01, 1 -> 1100.

0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 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-> 011100 -> 011100110011000101->

Mathematica

s = Nest[Flatten[# /. {0 -> {0, 1}, 1 -> {1, 1, 0, 0}}] &, {0}, 6] (* A284935 *)
Flatten[Position[s, 0]]  (* A284936 *)
Flatten[Position[s, 1]]  (* A284937 *)

Crossrefs

Cf. A284936, A284937.

Sequence in context: A189718 A054638 A074322 * A118249 A174206 A265333

Adjacent sequences: A284932 A284933 A284934 * A284936 A284937 A284938

Keyword

nonn,easy

Author

Clark Kimberling, Apr 18 2017

Status

approved