A285403 1-limiting word of the morphism 0->11, 1-> 001.

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

Offset

1

Comments

The morphism 0->11, 1-> 001 has two limiting words. If the number of iterations is even, the 0-word evolves from 0 -> 11 -> 001001 -> 11110011111001 ->

00100100100111110010010010010011111001; if the number of iterations is odd, the 1-word evolves from 0 -> 11 -> 001001 -> 11110011111001 , as in A285403.

Links

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

Mathematica

s = Nest[Flatten[# /. {0 -> {1, 1}, 1 -> {0, 0, 1}}] &, {0}, 11] (* A285403 *)
Flatten[Position[s, 0]]  (* A285404 *)
Flatten[Position[s, 1]]  (* A285405 *)

Crossrefs

Cf. A285401, A285404, A285405.

Sequence in context: A166446 A103368 A055132 * A183918 A128408 A121802

Adjacent sequences: A285400 A285401 A285402 * A285404 A285405 A285406

Keyword

nonn,easy

Author

Clark Kimberling, Apr 27 2017

Status

approved