A284677 1-limiting word of the morphism 0->1, 1-> 0111.

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

Offset

1

Comments

The morphism 0->1, 1->0111 has two limiting words. If the number of iterations is even, the 0-word evolves from 0 -> 1 -> 0111 -> 10111001110111 -> 01111011101110111110111011101111011101110111; if the number of iterations is odd, the 1-word evolves from 0 -> 1 -> 0111 -> 10111001110111, as in A284677.

Links

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

Mathematica

s = Nest[Flatten[# /. {0 -> {1}, 1 -> {0, 1, 1, 1}}] &, {0}, 7] (* A284677 *)
Flatten[Position[s, 0]]  (* A284678 *)
Flatten[Position[s, 1]]  (* A284679 *)

Crossrefs

Cf. A284675, A284678, A284679.

Sequence in context: A354993 A131379 A359819 * A191232 A267814 A267272

Adjacent sequences: A284674 A284675 A284676 * A284678 A284679 A284680

Keyword

nonn,easy

Author

Clark Kimberling, Apr 11 2017

Status

approved