A285034 1-limiting word of the morphism 0->10, 1-> 001.

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

Offset

1

Comments

The morphism 0->10, 1->001 has two limiting words. If the number of iterations is even, the 0-word evolves from 0 -> 10 -> 00110 -> 101000100110 -> 00110001101010001101000100110; if the number of iterations is odd, the 1-word evolves from 0 -> 10 -> 00110 -> 101000100110, as in A285034.

Links

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

Mathematica

s = Nest[Flatten[# /. {0 -> {1, 0}, 1 -> {0, 0, 1}}] &, {0}, 9]; (* A285034 *)
Flatten[Position[s, 0]]; (* A285035  *)
Flatten[Position[s, 1]];  (* A285036 *)
SubstitutionSystem[{0->{1, 0}, 1->{0, 0, 1}}, {1, 0}, {6}][[1]] (* Harvey P. Dale, Apr 06 2022 *)

Crossrefs

Cf. A285032, A285035, A285036.

Sequence in context: A108340 A341040 A257585 * A266174 A088917 A014933

Adjacent sequences: A285031 A285032 A285033 * A285035 A285036 A285037

Keyword

nonn,easy

Author

Clark Kimberling, Apr 19 2017

Status

approved