A284656 - OEIS

%I #8 Apr 08 2017 12:58:39

%S 1,0,1,1,0,0,1,1,0,1,0,1,1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,1,

%T 0,1,1,0,0,1,1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,1,0,1,1,0,1,0,

%U 1,1,0,0,1,1,0,1,0,1,1,0,1,0,1,1,0,0

%N 1-limiting word of the morphism 0 -> 1, 1 -> 0110.

%C The morphism 0 -> 1, 1 -> 0110 has two limiting words. If the number of iterations is even, the 0-word evolves from 0 -> 1 -> 0110 -> 1011001101 -> 0110101100110110110011010110; if the number of iterations is odd, the 1-word evolves from 0 -> 1 -> 0110 -> 1011001101, as in A284656.

%H Clark Kimberling, <a href="/A284656/b284656.txt">Table of n, a(n) for n = 1..10000</a>

%t s = Nest[Flatten[# /. {0 -> {1}, 1 -> {0, 1, 1, 0}}] &, {0}, 7] (* A284656 *)

%t Flatten[Position[s, 0]]  (* A284657 *)

%t Flatten[Position[s, 1]]  (* A284658 *)

%Y Cf. A284654, A284657, A284658.

%K nonn,easy

%O 1

%A _Clark Kimberling_, Apr 07 2017