A284490 1-limiting word of the morphism 0->1, 1->0011.

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

Offset

1

Comments

The morphism 0->1, 1->0011 has two limiting words. If the number of iterations is even, the 0-word evolves from 0 -> 1 -> 0011 -> 1100110011 -> 0011001111001100111100110011; if the number of iterations is odd, the 1-word evolves from 0 -> 1 -> 0011 -> 1100110011 ->, as in A284490.

Links

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

Mathematica

s = Nest[Flatten[# /. {0 -> {1}, 1 -> {0, 0, 1, 1}}] &, {0}, 15]; (* A284490 *)
Flatten[Position[s, 0]];  (* A284491 *)
Flatten[Position[s, 1]];  (* A284492 *)

Crossrefs

Cf. A284488, A284491, A284492.

Sequence in context: A133872 A286903 A339052 * A284505 A285661 A265698

Adjacent sequences: A284487 A284488 A284489 * A284491 A284492 A284493

Keyword

nonn,easy

Author

Clark Kimberling, Apr 04 2017

Status

approved