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A284508 0-limiting word of the morphism 0->1, 1->0001. 3

%I #6 Apr 05 2017 07:43:54

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

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

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

%N 0-limiting word of the morphism 0->1, 1->0001.

%C The morphism 0->1, 1->0001 has two limiting words. If the number of iterations is even, the 0-word evolves from 0 -> 1 -> 0001 -> 1110001 -> 0001000100011110001; if the number of iterations is odd, the 1-word evolves from 0 -> 1 -> 0001 -> 1110001 ->, as in A284512.

%H Clark Kimberling, <a href="/A284508/b284508.txt">Table of n, a(n) for n = 1..10000</a>

%t s = Nest[Flatten[# /. {0 -> {1}, 1 -> {0, 0, 0, 1}}] &, {0}, 8] (* A284508 *)

%t Flatten[Position[s, 0]] (* A284509 *)

%t Flatten[Position[s, 1]] (* A284510 *)

%Y Cf. A284509, A284510, A284512.

%K nonn,easy

%O 1

%A _Clark Kimberling_, Apr 04 2017

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Last modified April 24 20:08 EDT 2024. Contains 371963 sequences. (Running on oeis4.)