A285464 - OEIS

%I #5 Apr 30 2017 07:50:06

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

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

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

%N 0-limiting word of the morphism 0->11, 1-> 0001.

%C The morphism 0->11, 1-> 0001 has two limiting words.  If the number of iterations is even, the 0-word evolves from 0 -> 11 -> 00010001 -> 11111100011111110001 -> 00010000001... ; if the number of iterations is odd, the 1-word evolves from 0 -> 11 -> 00010001 -> 11111100011111110001, as in A285467.

%H Clark Kimberling, <a href="/A285464/b285464.txt">Table of n, a(n) for n = 1..10000</a>

%t s = Nest[Flatten[# /. {0 -> {1, 1}, 1 -> {0, 0, 0, 1}}] &, {0}, 10] (* A285464 *)

%t Flatten[Position[s, 0]]  (* A285465 *)

%t Flatten[Position[s, 1]]  (* A285466 *)

%Y Cf. A285465, A285466, A285467.

%K nonn,easy

%O 1

%A _Clark Kimberling_, Apr 29 2017