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%I #6 May 14 2017 15:53:24
%S 1,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,
%T 1,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,
%U 1,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,1,0
%N {0->10, 1->01}-transform of the Pell word, A171588.
%H Clark Kimberling, <a href="/A286726/b286726.txt">Table of n, a(n) for n = 1..10000</a>
%e As a word, A171588 = 001001000100100010010010001001000..., and replacing each 0 by 10 and each 1 by 01 gives 1010011010011010100110100110101001101...
%t s = Nest[Flatten[# /. {0 -> {0, 0, 1}, 1 -> {0}}] &, {0}, 6] (* A171588 *)
%t w = StringJoin[Map[ToString, s]]
%t w1 = StringReplace[w, {"0" -> "10", "1"->"11"}]
%t st = ToCharacterCode[w1] - 48 ; (* A286726 *)
%t Flatten[Position[st, 0]]; (* A286687 *)
%t Flatten[Position[st, 1]]; (* A286686 *)
%Y Cf. A171588, A286686, A286687.
%K nonn,easy
%O 1
%A _Clark Kimberling_, May 14 2017
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