A285125 0-limiting word of the morphism 0->10, 1-> 0000.

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, 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, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 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}, 14]; (* A285125 *)
Flatten[Position[s, 0]];  (* A285126 *)
Flatten[Position[s, 1]];  (* A285127 *)

Crossrefs

Cf. A285128, A285126, A285127.

Sequence in context: A286688 A356923 A356924 * A221152 A302048 A093957

Adjacent sequences: A285122 A285123 A285124 * A285126 A285127 A285128

Keyword

nonn,easy

Author

Clark Kimberling, Apr 19 2017

Status

approved