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%I #4 May 06 2017 19:55:13
%S 2,3,4,6,7,9,10,11,12,14,15,16,18,19,20,22,23,25,26,27,29,30,31,33,34,
%T 35,36,38,39,41,42,43,44,46,47,48,50,51,52,54,55,56,57,59,60,62,63,64,
%U 66,67,68,70,71,73,74,75,76,78,79,80,82,83,84,86,87,89
%N Positions of 1 in A285972; complement of A285973.
%C Conjecture: a(n)/n -> 4/3.
%H Clark Kimberling, <a href="/A285974/b285974.txt">Table of n, a(n) for n = 1..10000</a>
%e As a word, A285972 = 011101101111011101..., in which 1 is in positions 2,3,4,6,7,9,...
%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, {"10" -> "1"}]
%t st = ToCharacterCode[w1] - 48 (* A285972 *)
%t Flatten[Position[st, 0]] (* A285973 *)
%t Flatten[Position[st, 1]] (* A285974 *)
%Y Cf. A010060, A285972, A285973.
%K nonn,easy
%O 1,1
%A _Clark Kimberling_, May 06 2017