A285958 - OEIS

%I #4 May 06 2017 00:26:24

%S 1,3,4,5,7,8,9,11,12,13,14,16,17,19,20,21,23,24,25,27,28,30,31,32,33,

%T 35,36,37,39,40,41,43,44,45,46,48,49,51,52,53,54,56,57,58,60,61,62,64,

%U 65,67,68,69,71,72,73,75,76,77,78,80,81,83,84,85,87,88

%N Positions of 0 in A285957; complement of A285959.

%C Conjecture: a(n)/n -> 4/3.

%H Clark Kimberling, <a href="/A285958/b285958.txt">Table of n, a(n) for n = 1..10000</a>

%e As a word, A285957 = 010001000100001..., in which 0 is in positions 1,3,4,5,7,8,...

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

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

%t w1 = StringReplace[w, {"01" -> "0"}]

%t st = ToCharacterCode[w1] - 48 (* A285957 *)

%t Flatten[Position[st, 0]]  (* A285958 *)

%t Flatten[Position[st, 1]]  (* A285959 *)

%Y Cf. A010060, A285957, A285959.

%K nonn,easy

%O 1,2

%A _Clark Kimberling_, May 05 2017