Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.
%I #4 Apr 30 2017 07:51:11
%S 1,1,1,1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,1,1,1,1,1,
%T 1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,1,
%U 0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,1,1
%N 1-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="/A285467/b285467.txt">Table of n, a(n) for n = 1..10000</a>
%t s = Nest[Flatten[# /. {0 -> {1, 1}, 1 -> {0, 0, 0, 1}}] &, {0}, 11] (* A285467 *)
%t Flatten[Position[s, 0]] (* A285468 *)
%t Flatten[Position[s, 1]] (* A285469 *)
%Y Cf. A285464, A285468, A285469.
%K nonn,easy
%O 1
%A _Clark Kimberling_, Apr 29 2017