A285599 1-limiting word of the morphism 0->11, 1-> 0111.

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

Offset

1

Comments

The morphism 0->11, 1-> 0111 has two limiting words. If the number of iterations is even, the 0-word evolves from 0 -> 11 -> 01110111 -> 1101110111011101011101110111; if the number of iterations is odd, the 1-word evolves from 0 -> 11 -> 01110111, as in A285599.

Links

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

Mathematica

s = Nest[Flatten[# /. {0 -> {1, 1}, 1 -> {0, 1, 1, 1}}] &, {0}, 11] (* A285599 *)
Flatten[Position[s, 0]]  (* A285600 *)
Flatten[Position[s, 1]]  (* A285601 *)

Crossrefs

Cf. A285596, A285600, A285601.

Sequence in context: A118831 A118828 A105234 * A284386 A286922 A285668

Adjacent sequences: A285596 A285597 A285598 * A285600 A285601 A285602

Keyword

nonn,easy

Author

Clark Kimberling, May 01 2017

Status

approved