A287727 - OEIS

%I #7 Jun 03 2017 15:26:50

%S 1,3,4,5,6,8,9,10,12,13,14,15,17,18,19,20,22,23,24,26,27,28,29,31,32,

%T 33,35,36,37,38,40,41,42,43,45,46,47,49,50,51,52,54,55,56,57,59,60,61,

%U 63,64,65,66,68,69,70,72,73,74,75,77,78,79,80,82,83,84

%N Positions of 1 in A287725; complement of A287726.

%C Conjecture: -1 < n*r - a(n) < 1 for n >= 1, where r = (15 - sqrt(5))/10.

%H Clark Kimberling, <a href="/A287727/b287727.txt">Table of n, a(n) for n = 1..10000</a>

%t s = Nest[Flatten[# /. {0 -> {0, 1}, 1 -> {0}}] &, {0}, 10] (* A003849 *)

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

%t w1 = StringReplace[w, {"0" -> "1", "1" -> "011"}]

%t st = ToCharacterCode[w1] - 48    (* A287725 *)

%t Flatten[Position[st, 0]]  (* A287726 *)

%t Flatten[Position[st, 1]]  (* A287727 *)

%Y Cf. A287725, A287726.

%K nonn,easy

%O 1,2

%A _Clark Kimberling_, Jun 02 2017