A285274 0-limiting word of the morphism 0->10, 1-> 0111.

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

Offset

1

Comments

The morphism 0->10, 1-> 0111 has two limiting words. If the number of iterations is even, the 0-word evolves from 0 -> 10 -> 011110 -> 10011101110111011110 ->

01111010011101110111100111011101111001110111011110011101110111011110; if the number of iterations is odd, the 1-word evolves from 0 -> 10 -> 011110 -> 10011101110111011110, as in A285277.

Links

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

Mathematica

s = Nest[Flatten[# /. {0 -> {1, 0}, 1 -> {0, 1, 1, 1}}] &, {0}, 10]; (* A285274 *)
Flatten[Position[s, 0]];  (* A285275 *)
Flatten[Position[s, 1]];  (* A285276 *)

Crossrefs

Cf. A285275, A285276, A285277.

Sequence in context: A131719 A342460 A100656 * A189081 A296084 A302777

Adjacent sequences: A285271 A285272 A285273 * A285275 A285276 A285277

Keyword

nonn,easy

Author

Clark Kimberling, Apr 24 2017

Status

approved