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A285414 1-limiting word of the morphism 0->11, 1-> 010. 5

%I #4 Apr 27 2017 22:51:26

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

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

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

%N 1-limiting word of the morphism 0->11, 1-> 010.

%C The morphism 0->11, 1-> 010 has two limiting words. If the number of iterations is even, the 0-word evolves from 0 -> 11 -> 010010 -> 11010111101011 -> 01001011010110100100100101101011010010; if the number of iterations is odd, the 1-word evolves from 0 -> 11 -> 010010 -> 11010111101011 , as in A285414.

%H Clark Kimberling, <a href="/A285414/b285414.txt">Table of n, a(n) for n = 1..10000</a>

%t s = Nest[Flatten[# /. {0 -> {1, 1}, 1 -> {0, 1, 0}}] &, {0}, 11] (* A285414 *)

%t Flatten[Position[s, 0]] (* A285415 *)

%t Flatten[Position[s, 1]] (* A285416 *)

%Y Cf. A285412, A285415, A285416.

%K nonn,easy

%O 1

%A _Clark Kimberling_, Apr 27 2017

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