A285568 1-limiting word of the morphism 0->11, 1-> 0110.

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

Offset

1

Comments

The morphism 0->11, 1-> 0110 has two limiting words. If the number of iterations is even, the 0-word evolves from 0 -> 11 -> 01100110; if the number of iterations is odd, the 1-word evolves from 0 -> 11 -> 01100110 -> 110110011011110110011011, as in A285568.

Links

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

Mathematica

s = Nest[Flatten[# /. {0 -> {1, 1}, 1 -> {0, 1, 1, 0}}] &, {0}, 9] (* A285568 *)
Flatten[Position[s, 0]]  (* A285569 *)
Flatten[Position[s, 1]]  (* A286031 *)

Crossrefs

Cf. A285566, A285569, A286031.

Sequence in context: A100672 A079559 A175480 * A014577 A157926 A263243

Adjacent sequences: A285565 A285566 A285567 * A285569 A285570 A285571

Keyword

nonn,easy

Author

Clark Kimberling, Apr 30 2017

Status

approved