A285128 1-limiting word of the morphism 0->10, 1-> 0000.

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

Offset

1

Comments

The morphism 0->10, 1->0000 has two limiting words. If the number of iterations is even, the 0-word evolves from 0 -> 10 -> 000010 -> 10101010000010 -> 00001000001000001000001010101010000010; if the number of iterations is odd, the 1-word evolves from 0 -> 10 -> 000010 -> 10101010000010, as in A285128.

Links

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

Mathematica

s = Nest[Flatten[# /. {0 -> {1, 0}, 1 -> {0, 0, 0, 0}}] &, {0}, 13]; (* A285128 *)
Flatten[Position[s, 0]];  (* A285129 *)
Flatten[Position[s, 1]];  (* A285130 *)

Crossrefs

Cf. A285125, A285128, A285130.

Sequence in context: A147850 A286046 A189215 * A080545 A355820 A099991

Adjacent sequences: A285125 A285126 A285127 * A285129 A285130 A285131

Keyword

nonn,easy

Author

Clark Kimberling, Apr 19 2017

Status

approved