A285418 0-limiting word of the morphism 0->11, 1-> 011.

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

Offset

1

Comments

The morphism 0->11, 1-> 011 has two limiting words. If the number of iterations is even, the 0-word evolves from 0 -> 11 -> 011011 -> 1101101111011011 -> 01101111011011110110110110111101101111011011; if the number of iterations is odd, the 1-word evolves from 0 -> 11 -> 011011 -> 1101101111011011, as in A285421.

Links

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

Mathematica

s = Nest[Flatten[# /. {0 -> {1, 1}, 1 -> {0, 1, 1}}] &, {0}, 10] (* A285418 *)
Flatten[Position[s, 0]]  (* A285419 *)
Flatten[Position[s, 1]]  (* A285420 *)

Crossrefs

Cf. A285419, A285420, A285421.

Sequence in context: A332814 A353788 A348737 * A344617 A068717 A049240

Adjacent sequences: A285415 A285416 A285417 * A285419 A285420 A285421

Keyword

nonn,easy

Author

Clark Kimberling, Apr 28 2017

Status

approved