A287725 - OEIS

%I #8 Jun 03 2017 15:26:31

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

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

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

%N {0->1, 1->011}-transform of the infinite Fibonacci word A003849.

%H Clark Kimberling, <a href="/A287725/b287725.txt">Table of n, a(n) for n = 1..10000</a>

%e As a word, A003849 = 0100101001001010010100100..., and replacing each 0 by 1 and each 1 by 011 gives 10111101110111101111011101111011101111011110...

%t s = Nest[Flatten[# /. {0 -> {0, 1}, 1 -> {0}}] &, {0}, 10] (* A003849 *)

%t w = StringJoin[Map[ToString, s]]

%t w1 = StringReplace[w, {"0" -> "1", "1" -> "011"}]

%t st = ToCharacterCode[w1] - 48    (* A287725 *)

%t Flatten[Position[st, 0]]  (* A287726 *)

%t Flatten[Position[st, 1]]  (* A287727 *)

%Y Cf. A287726, A287727.

%K nonn,easy

%O 1

%A _Clark Kimberling_, Jun 02 2017