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A285249 0-limiting word of the morphism 0->10, 1-> 0101. 3

%I #5 Apr 24 2017 10:33:01

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

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

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

%N 0-limiting word of the morphism 0->10, 1-> 0101.

%C The morphism 0->10, 1-> 0101 has two limiting words. If the number of iterations is even, the 0-word evolves from 0 -> 10 -> 0101 -> 100101100101 -> 010110100101100101010110100101100101; if the number of iterations is odd, the 1-word evolves from 0 -> 10 -> 0101 -> 100101100101, as in A285252.

%H Clark Kimberling, <a href="/A285249/b285249.txt">Table of n, a(n) for n = 1..10000</a>

%t s = Nest[Flatten[# /. {0 -> {1, 0}, 1 -> {0, 1, 0, 1}}] &, {0}, 12]; (* A285249 *)

%t Flatten[Position[s, 0]]; (* A285250 *)

%t Flatten[Position[s, 1]]; (* A285251 *)

%Y Cf. A285250, A285251, A285252.

%K nonn,easy

%O 1

%A _Clark Kimberling_, Apr 23 2017

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