A286685 - OEIS

%I #6 May 13 2017 17:21:17

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

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

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

%N {0->01, 1->10}-transform of the Pell word, A171588.

%H Clark Kimberling, <a href="/A286685/b286685.txt">Table of n, a(n) for n = 1..10000</a>

%e As a word, A171588 = 001001000100100010010010001001000..., and replacing each 0 by 01 and each 1 by 10 gives 0101100101100101011001011001010...

%t s = Nest[Flatten[# /. {0 -> {0, 0, 1}, 1 -> {0}}] &, {0}, 6] (* A171588 *)

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

%t w1 = StringReplace[w, {"0" -> "01", "1"->"10"}]

%t st = ToCharacterCode[w1] - 48 ; (* A286685 *)

%t Flatten[Position[st, 0]];  (* A286686 *)

%t Flatten[Position[st, 1]];  (* A286687 *)

%Y Cf. A171588, A286686, A286687.

%K nonn,easy

%O 1

%A _Clark Kimberling_, May 13 2017