A285205 0-limiting word of the morphism 0->10, 1-> 0100.

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

Offset

1

Comments

The morphism 0->10, 1-> 0100 has two limiting words. If the number of iterations is even, the 0-word evolves from 0 -> 10 -> 0100 -> 1001001010 -> 0100101001001010010010010010; if the number of iterations is odd, the 1-word evolves from 0 -> 10 -> 0100 -> 1001001010, as in A285208.

Links

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

Mathematica

s = Nest[Flatten[# /. {0 -> {1, 0}, 1 -> {0, 1, 0, 0}}] &, {0}, 12]; (* A285205 *)
Flatten[Position[s, 0]];  (* A285206 *)
Flatten[Position[s, 1]];  (* A285207 *)

Crossrefs

Cf. A285206, A285207, A285208.

Sequence in context: A164349 A094186 A267371 * A286654 A003849 A188034

Adjacent sequences: A285202 A285203 A285204 * A285206 A285207 A285208

Keyword

nonn,easy

Author

Clark Kimberling, Apr 21 2017

Status

approved