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0-limiting word of the morphism 0->1, 1->0010.
6

%I #7 Apr 06 2017 21:46:33

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

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

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

%N 0-limiting word of the morphism 0->1, 1->0010.

%C The morphism 0->1, 1-> 0010 has two limiting words. If the number of iterations is even, the 0-word evolves from 0 -> 1 -> 0010 -> 1100101 -> 0010001011001010010; if the number of iterations is odd, the 1-word evolves from 0 -> 1 -> 0010 -> 1100101 ->, as in A284527.

%H Clark Kimberling, <a href="/A284524/b284524.txt">Table of n, a(n) for n = 1..10000</a>

%t s = Nest[Flatten[# /. {0 -> {1}, 1 -> {0, 0, 1, 0}}] &, {0}, 8] (* A284524 *)

%t Flatten[Position[s, 0]] (* A284525 *)

%t Flatten[Position[s, 1]] (* A284526 *)

%Y Cf. A284525, A284526, A284527.

%K nonn,easy

%O 1

%A _Clark Kimberling_, Apr 05 2017