A285501 0-limiting word of the morphism 0->11, 1-> 0011.

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

Offset

1

Comments

The morphism 0->11, 1-> 0011 has two limiting words. If the number of iterations is even, the 0-word evolves from 0 -> 11 -> 00110011 -> 111100110011111100110011 -> 0011001100110011111100110011111100110011...; if the number of iterations is odd, the 1-word evolves from 0 -> 11 -> 00110011 -> 111100110011111100110011, as in A285504.

Links

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

Mathematica

s = Nest[Flatten[# /. {0 -> {1, 1}, 1 -> {0, 0, 1, 1}}] &, {0}, 8] (* A285501 *)
Flatten[Position[s, 0]]  (* A285502 *)
Flatten[Position[s, 1]]  (* A285503 *)

Crossrefs

Cf. A285502, A285503, A285504, A285515.

Sequence in context: A188257 A132380 A021913 * A288551 A327174 A269723

Adjacent sequences: A285498 A285499 A285500 * A285502 A285503 A285504

Keyword

nonn,easy

Author

Clark Kimberling, Apr 30 2017

Status

approved