A284656 1-limiting word of the morphism 0 -> 1, 1 -> 0110.

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

Offset

1

Comments

The morphism 0 -> 1, 1 -> 0110 has two limiting words. If the number of iterations is even, the 0-word evolves from 0 -> 1 -> 0110 -> 1011001101 -> 0110101100110110110011010110; if the number of iterations is odd, the 1-word evolves from 0 -> 1 -> 0110 -> 1011001101, as in A284656.

Links

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

Mathematica

s = Nest[Flatten[# /. {0 -> {1}, 1 -> {0, 1, 1, 0}}] &, {0}, 7] (* A284656 *)
Flatten[Position[s, 0]]  (* A284657 *)
Flatten[Position[s, 1]]  (* A284658 *)

Crossrefs

Cf. A284654, A284657, A284658.

Sequence in context: A137893 A108882 A369989 * A168002 A267050 A267355

Adjacent sequences: A284653 A284654 A284655 * A284657 A284658 A284659

Keyword

nonn,easy

Author

Clark Kimberling, Apr 07 2017

Status

approved