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 A284957 1-limiting word of the morphism 0->10, 1-> 000. 4

%I

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

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

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

%N 1-limiting word of the morphism 0->10, 1-> 000.

%C The morphism 0->10, 1->000 has two limiting words. If the number of iterations is even, the 0-word evolves from 0 -> 10 -> 00010 -> 10101000010 -> 00010000100001010101000010; if the number of iterations is odd, the 1-word evolves from 0 -> 10 -> 00010 -> 10101000010, as in A284957.

%H Clark Kimberling, <a href="/A284957/b284957.txt">Table of n, a(n) for n = 1..10000</a>

%t s = Nest[Flatten[# /. {0 -> {1, 0}, 1 -> {0, 0, 0}}] &, {0}, 9]; (* A284957 *)

%t Flatten[Position[s, 0]]; (* A284958 *)

%t Flatten[Position[s, 1]]; (* A284959 *)

%Y Cf. A284954, A284958, A284959.

%K nonn,easy

%O 1

%A _Clark Kimberling_, Apr 18 2017

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Last modified January 24 12:07 EST 2022. Contains 350536 sequences. (Running on oeis4.)