A286490 - OEIS

%I #5 May 11 2017 20:10:58

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

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

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

%N {0101->0}-transform of the Thue-Morse word A010060.

%C This is also the {1011->1}-transform of the Thue-Morse word A010060.

%H Clark Kimberling, <a href="/A286490/b286490.txt">Table of n, a(n) for n = 1..10000</a>

%e As a word, A010060 = 0110100110010110100101100..., and replacing each 0101 by 0 gives 0110100110010100100110100110010011...

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

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

%t w1 = StringReplace[w, {"0101" -> "0"}]

%t st = ToCharacterCode[w1] - 48  (* A286490 *)

%t Flatten[Position[st, 0]]  (* A286491 *)

%t Flatten[Position[st, 1]]  (* A286492 *)

%Y Cf. A010060, A286491, A286492.

%K nonn,easy

%O 1

%A _Clark Kimberling_, May 11 2017