A285568 - OEIS

%I #5 Apr 30 2017 22:37:46

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

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

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

%N 1-limiting word of the morphism 0->11, 1-> 0110.

%C The morphism 0->11, 1-> 0110 has two limiting words.  If the number of iterations is even, the 0-word evolves from 0 -> 11 -> 01100110; if the number of iterations is odd, the 1-word evolves from 0 -> 11 -> 01100110 -> 110110011011110110011011, as in A285568.

%H Clark Kimberling, <a href="/A285568/b285568.txt">Table of n, a(n) for n = 1..10000</a>

%t s = Nest[Flatten[# /. {0 -> {1, 1}, 1 -> {0, 1, 1, 0}}] &, {0}, 9] (* A285568 *)

%t Flatten[Position[s, 0]]  (* A285569 *)

%t Flatten[Position[s, 1]]  (* A286031 *)

%Y Cf. A285566, A285569, A286031.

%K nonn,easy

%O 1

%A _Clark Kimberling_, Apr 30 2017