A285208 1-limiting word of the morphism 0->10, 1-> 0100.

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

Offset

1

Comments

The morphism 0->10, 1-> 0100 has two limiting words. If the number of iterations is even, the 0-word evolves from 0 -> 10 -> 0100 -> 1001001010 -> 0100101001001010010010010010; if the number of iterations is odd, the 1-word evolves from 0 -> 10 -> 0100 -> 1001001010, as in A285208.

Links

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

Mathematica

s = Nest[Flatten[# /. {0 -> {1, 0}, 1 -> {0, 1, 0, 0}}] &, {0}, 11]; (* A285208 *)
Flatten[Position[s, 0]];  (* A285209 *)
Flatten[Position[s, 1]];  (* A285210 *)

Crossrefs

Cf. A285205, A285209, A285210.

Sequence in context: A164704 A245485 A068429 * A260444 A289034 A011747

Adjacent sequences: A285205 A285206 A285207 * A285209 A285210 A285211

Keyword

nonn,easy

Author

Clark Kimberling, Apr 21 2017

Status

approved