A284912 Fixed point of the morphism 0 -> 01, 1 -> 1010.

0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 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-> 011010 -> 011010101001101001 ->

Mathematica

s = Nest[Flatten[# /. {0 -> {0, 1}, 1 -> {1, 0, 1, 0}}] &, {0}, 6] (* A284912 *)
Flatten[Position[s, 0]]  (* A284913 *)
Flatten[Position[s, 1]]  (* A284914 *)

Crossrefs

Cf. A284913, A284914.

Sequence in context: A285255 A324823 A353354 * A192082 A353498 A296066

Adjacent sequences: A284909 A284910 A284911 * A284913 A284914 A284915

Keyword

nonn,easy

Author

Clark Kimberling, Apr 17 2017

Status

approved