A285504 1-limiting word of the morphism 0->11, 1-> 0011.

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

Offset

1

Comments

The morphism 0->11, 1-> 0011 has two limiting words. If the number of iterations is even, the 0-word evolves from 0 -> 11 -> 00110011 -> 111100110011111100110011 -> 0011001100110011111100110011111100110011...; if the number of iterations is odd, the 1-word evolves from 0 -> 11 -> 00110011 -> 111100110011111100110011, as in A285504.

Links

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

Mathematica

s = Nest[Flatten[# /. {0 -> {1, 1}, 1 -> {0, 0, 1, 1}}] &, {0}, 9] (* A285504 *)
Flatten[Position[s, 0]]  (* A285505 *)
Flatten[Position[s, 1]]  (* A285506 *)

Crossrefs

Cf. A285501, A285505, A285506, A285518.

Sequence in context: A185916 A084846 A285498 * A130093 A115944 A166446

Adjacent sequences: A285501 A285502 A285503 * A285505 A285506 A285507

Keyword

nonn,easy

Author

Clark Kimberling, Apr 30 2017

Status

approved