A286339 - OEIS

%I #4 May 09 2017 17:39:02

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

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

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

%N {1101->1}-transform of the Thue-Morse word A010060.

%C This is also the {1010->1}-transform of the Thue-Morse word A010060.

%H Clark Kimberling, <a href="/A286339/b286339.txt">Table of n, a(n) for n = 1..10000</a>

%e As a word, A010060 = 0110100110010110100101100..., and replacing each 1101 by 1 gives 0100110010100101100...

%t s = Nest[Flatten[# /. {0 -> {0, 1}, 1 -> {1, 0}}] &, {0}, 9] (* A010060 *)

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

%t w1 = StringReplace[w, {"1101" -> "1"}]

%t st = ToCharacterCode[w1] - 48  (* A286339 *)

%t Flatten[Position[st, 0]]  (* A286340 *)

%t Flatten[Position[st, 1]]  (* A286341 *)

%Y Cf. A010060, A286340, A286341.

%K nonn,easy

%O 1

%A _Clark Kimberling_, May 09 2017