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{00->1}-transform of the Thue-Morse word A010060.
3

%I #4 May 06 2017 19:55:39

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

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

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

%N {00->1}-transform of the Thue-Morse word A010060.

%H Clark Kimberling, <a href="/A285978/b285978.txt">Table of n, a(n) for n = 1..10000</a>

%e As a word, A010060 = 0110100110010110100101100..., and replacing each 00 by 1 gives 011011111101101110111110...

%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, {"00" -> "1"}]

%t st = ToCharacterCode[w1] - 48 (* A285978 *)

%t Flatten[Position[st, 0]] (* A285979 *)

%t Flatten[Position[st, 1]] (* A285980 *)

%Y Cf. A010060, A285979, A285980.

%K nonn,easy

%O 1

%A _Clark Kimberling_, May 06 2017