A284471 1-limiting word of the morphism 0->1, 1->0100.

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

Offset

1

Comments

The morphism 0->1, 1->0100 has two limiting words. If the number of iterations is even, the 0-word evolves from 0 -> 1 -> 0100 -> 1010011 -> 0100101001101000100; if the number of iterations is odd, the 1-word evolves from 0 -> 1 -> 0100 -> 1010011 -> 0100101001101000100, 1010011010010100110100010010100111010011, as in A284471.

Links

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

Mathematica

s = Nest[Flatten[# /. {0 -> {1}, 1 -> {0, 1, 0, 0}}] &, {0}, 17]; (* A284471 *)
Flatten[Position[s, 0]];  (* A284472 *)
Flatten[Position[s, 1]];  (* A284473*)

Crossrefs

Cf. A284468, A284472, A284473.

Sequence in context: A120522 A157423 A098033 * A135022 A286726 A189209

Adjacent sequences: A284468 A284469 A284470 * A284472 A284473 A284474

Keyword

nonn,easy

Author

Clark Kimberling, Apr 02 2017

Status

approved