A284508 0-limiting word of the morphism 0->1, 1->0001.

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

Offset

1

Comments

The morphism 0->1, 1->0001 has two limiting words. If the number of iterations is even, the 0-word evolves from 0 -> 1 -> 0001 -> 1110001 -> 0001000100011110001; if the number of iterations is odd, the 1-word evolves from 0 -> 1 -> 0001 -> 1110001 ->, as in A284512.

Links

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

Mathematica

s = Nest[Flatten[# /. {0 -> {1}, 1 -> {0, 0, 0, 1}}] &, {0}, 8] (* A284508 *)
Flatten[Position[s, 0]]  (* A284509 *)
Flatten[Position[s, 1]]  (* A284510 *)

Crossrefs

Cf. A284509, A284510, A284512.

Sequence in context: A275855 A268310 A283316 * A347519 A160351 A268340

Adjacent sequences: A284505 A284506 A284507 * A284509 A284510 A284511

Keyword

nonn,easy

Author

Clark Kimberling, Apr 04 2017

Status

approved