A288601 - OEIS

%I #4 Jun 15 2017 00:03:37

%S 1,3,4,6,8,9,12,13,15,18,19,21,23,24,28,29,31,33,34,37,38,40,44,45,47,

%T 49,50,53,54,56,59,60,62,64,65,70,71,73,75,76,79,80,82,85,86,88,90,91,

%U 95,96,98,100,101,104,105,107,112,113,115,117,118,121,122

%N Positions of 0 in A288600; complement of A288602.

%C Conjecture:  a(n)/n->2, and -1 < 2 - a(n)/n) < 1 for n >= 1.

%H Clark Kimberling, <a href="/A288601/b288601.txt">Table of n, a(n) for n = 1..10000</a>

%t s = {0, 0}; w[0] = StringJoin[Map[ToString, s]];

%t w[n_] := StringReplace[w[n - 1], {"00" -> "0101", "1" -> "1001"}]

%t Table[w[n], {n, 0, 8}]

%t st = ToCharacterCode[w[11]] - 48   (* A288600 *)

%t Flatten[Position[st, 0]]  (* A288601 *)

%t Flatten[Position[st, 1]]  (* A288602 *)

%Y Cf. A288601, A288602.

%K nonn,easy

%O 1,2

%A _Clark Kimberling_, Jun 14 2017