A285139 0-limiting word of the morphism 0->10, 1-> 0010.

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

Offset

1

Comments

The morphism 0->10, 1->0010 has two limiting words. If the number of iterations is even, the 0-word evolves from 0 -> 10 -> 001010 -> 1010001010001010 -> 00101000101010100010100010101010001010001010; if the number of iterations is odd, the 1-word evolves from 0 -> 10 -> 001010 -> 1010001010001010, as in A285142.

Links

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

Mathematica

s = Nest[Flatten[# /. {0 -> {1, 0}, 1 -> {0, 0, 1, 0}}] &, {0}, 12]; (* A285139 *)
Flatten[Position[s, 0]];  (* A285140 *)
Flatten[Position[s, 1]];  (* A285141 *)

Crossrefs

Cf. A285140, A285141, A285142.

Sequence in context: A288257 A285666 A120325 * A289011 A289071 A287931

Adjacent sequences: A285136 A285137 A285138 * A285140 A285141 A285142

Keyword

nonn,easy

Author

Clark Kimberling, Apr 20 2017

Status

approved