A284468 0-limiting word of the morphism 0->1, 1->0100.

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

Offset

1

Comments

The morphism 0->1, 1->0100 has two limiting words. If the number of iterations is even, the 0-word evolves from 0 -> 1 -> 0100 -> 1010011 -> 0100101001101000100; if the number of iterations is odd, the 1-word evolves from 0 -> 1 -> 0100 -> 1010011 -> 0100101001101000100, 1010011010010100110100010010100111010011, as in A284471.

Links

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

Mathematica

s = Nest[Flatten[# /. {0 -> {1}, 1 -> {0, 1, 0, 0}}] &, {0}, 16]; (* A284468 *)
Flatten[Position[s, 0]];  (* A284469 *)
Flatten[Position[s, 1]];  (* A284470*)

Crossrefs

Cf. A284469, A284470, A284471.

Sequence in context: A059620 A188014 A288600 * A260455 A189572 A287028

Adjacent sequences: A284465 A284466 A284467 * A284469 A284470 A284471

Keyword

nonn,easy

Author

Clark Kimberling, Apr 02 2017

Status

approved