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{011->0}-transform of the Thue-Morse word A010060.
3

%I #5 May 07 2017 21:35:19

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

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

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

%N {011->0}-transform of the Thue-Morse word A010060.

%C This is also the {110->1}-transform of A010060.

%H Clark Kimberling, <a href="/A286044/b286044.txt">Table of n, a(n) for n = 1..10000</a>

%e As a word, A010060 = 0110100110010110100101100..., and replacing each 011 by 0 gives 00100001001001000010000100001...

%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, {"011" -> "0"}]

%t st = ToCharacterCode[w1] - 48 (* A286044 *)

%t Flatten[Position[st, 0]] (* A286045 *)

%t Flatten[Position[st, 1]] (* A003157 *)

%Y Cf. A010060, A286045, A003157.

%K nonn,easy

%O 1

%A _Clark Kimberling_, May 07 2017