A285136 1-limiting word of the morphism 0->10, 1-> 0001.

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

Offset

1

Comments

The morphism 0->10, 1->0001 has two limiting words. If the number of iterations is even, the 0-word evolves from 0 -> 10 -> 000110 -> 1010100001000110 -> 00011000011000011010101000011010100001000110; if the number of iterations is odd, the 1-word evolves from 0 -> 10 -> 000110 -> 1010100001000110, as in A285136.

Links

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

Mathematica

s = Nest[Flatten[# /. {0 -> {1, 0}, 1 -> {0, 0, 0, 1}}] &, {0}, 11]; (* A285136 *)
Flatten[Position[s, 0]];  (* A285137 *)
Flatten[Position[s, 1]];  (* A285138 *)

Crossrefs

Cf. A285133, A285137, A285138.

Sequence in context: A274719 A014069 A154388 * A029694 A171894 A284957

Adjacent sequences: A285133 A285134 A285135 * A285137 A285138 A285139

Keyword

nonn,easy

Author

Clark Kimberling, Apr 20 2017

Status

approved