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A285967 Positions of 0 in A285966; complement of A285968. 3

%I

%S 1,3,5,6,8,9,11,13,15,16,18,20,21,23,25,26,28,29,31,33,34,36,38,39,41,

%T 43,45,46,48,49,51,53,55,56,58,60,61,63,65,66,68,70,72,73,75,76,78,80,

%U 81,83,85,86,88,89,91,93,95,96,98,100,101,103,105,106,108

%N Positions of 0 in A285966; complement of A285968.

%C Conjecture: a(n)/n -> 5/3.

%C For a proof of this conjecture see A285968. - _Michel Dekking_, Mar 15 2019

%H Clark Kimberling, <a href="/A285967/b285967.txt">Table of n, a(n) for n = 1..10000</a>

%e As a word, A285966 = 01010010010101001010010..., in which 0 is in positions 1,3,5,6,8,...

%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, {"11" -> "1"}]

%t st = ToCharacterCode[w1] - 48 (* A285966 *)

%t Flatten[Position[st, 0]] (* A285967 *)

%t Flatten[Position[st, 1]] (* A285968 *)

%Y Cf. A010060, A285966, A285968.

%K nonn,easy

%O 1,2

%A _Clark Kimberling_, May 06 2017

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Last modified September 26 16:08 EDT 2021. Contains 347669 sequences. (Running on oeis4.)