A285142 1-limiting word of the morphism 0->10, 1->0010.

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

Offset

1

Comments

The morphism 0->10, 1->0010 has two limiting words. If the number of iterations is even, the 0-word evolves from 0 -> 10 -> 001010 -> 1010001010001010 -> 00101000101010100010100010101010001010001010, as in A285139; if the number of iterations is odd, the 1-word evolves from 0 -> 10 -> 001010 -> 1010001010001010 (here).

Links

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

Mathematica

s = Nest[Flatten[# /. {0 -> {1, 0}, 1 -> {0, 0, 1, 0}}] &, {0}, 11]; (* A285142 *)
Flatten[Position[s, 0]];  (* A285143 *)
Flatten[Position[s, 1]];  (* A285144 *)

Crossrefs

Cf. A285139, A285143, A285144.

Sequence in context: A014021 A015725 A016331 * A267525 A014429 A354036

Adjacent sequences: A285139 A285140 A285141 * A285143 A285144 A285145

Keyword

nonn,easy

Author

Clark Kimberling, Apr 20 2017

Extensions

Definition and comment corrected by Georg Fischer, May 14 2021

Status

approved