%I
%S 1,0,1,0,1,0,0,0,0,1,0,0,0,1,1,0,1,0,1,0,1,0,0,0,0,1,0,0,0,1,1,0,1,0,
%T 1,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,0,
%U 1,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1
%N 1limiting word of the morphism 0>10, 1> 0001.
%C The morphism 0>10, 1>0001 has two limiting words. If the number of iterations is even, the 0word evolves from 0 > 10 > 000110 > 1010100001000110 > 00011000011000011010101000011010100001000110; if the number of iterations is odd, the 1word evolves from 0 > 10 > 000110 > 1010100001000110, as in A285136.
%H Clark Kimberling, <a href="/A285136/b285136.txt">Table of n, a(n) for n = 1..10000</a>
%t s = Nest[Flatten[# /. {0 > {1, 0}, 1 > {0, 0, 0, 1}}] &, {0}, 11]; (* A285136 *)
%t Flatten[Position[s, 0]]; (* A285137 *)
%t Flatten[Position[s, 1]]; (* A285138 *)
%Y Cf. A285133, A285137, A285138.
%K nonn,easy
%O 1
%A _Clark Kimberling_, Apr 20 2017
