A285031 0-limiting word of the morphism 0->10, 1-> 001.

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

Offset

1

Comments

The morphism 0->10, 1->001 has two limiting words. If the number of iterations is even, the 0-word evolves from 0 -> 10 -> 00110 -> 101000100110 -> 00110001101010001101000100110; if the number of iterations is odd, the 1-word evolves from 0 -> 10 -> 00110 -> 101000100110, as in A285034.

Links

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

Mathematica

s = Nest[Flatten[# /. {0 -> {1, 0}, 1 -> {0, 0, 1}}] &, {0}, 8]; (* A285031 *)
Flatten[Position[s, 0]]; (* A285032  *)
Flatten[Position[s, 1]]; (* A285033 *)

Crossrefs

Cf. A285032, A285033, A285034.

Sequence in context: A074290 A091225 A175337 * A327222 A286063 A339824

Adjacent sequences: A285028 A285029 A285030 * A285032 A285033 A285034

Keyword

nonn,easy

Author

Clark Kimberling, Apr 19 2017

Status

approved