A285136 - OEIS

%I #4 Apr 21 2017 08:06:08

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

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

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

%N 1-limiting word of the morphism 0->10, 1-> 0001.

%C The morphism 0->10, 1->0001 has two limiting words.  If the number of iterations is even, the 0-word evolves from 0 -> 10 -> 000110 -> 1010100001000110 -> 00011000011000011010101000011010100001000110; if the number of iterations is odd, the 1-word evolves from 0 -> 10 -> 000110 -> 1010100001000110, as in A285136.

%H Clark Kimberling, <a href="/A285136/b285136.txt">Table of n, a(n) for n = 1..10000</a>

%t s = Nest[Flatten[# /. {0 -> {1, 0}, 1 -> {0, 0, 0, 1}}] &, {0}, 11]; (* A285136 *)

%t Flatten[Position[s, 0]];  (* A285137 *)

%t Flatten[Position[s, 1]];  (* A285138 *)

%Y Cf. A285133, A285137, A285138.

%K nonn,easy

%O 1

%A _Clark Kimberling_, Apr 20 2017