A288509 - OEIS

%I #9 Jun 13 2017 10:08:21

%S 1,2,3,5,6,8,10,12,13,15,17,19,20,22,23,24,26,27,28,30,32,34,35,37,38,

%T 39,41,42,43,45,47,49,50,52,53,55,56,58,59,60,62,63,65,66,68,69,70,72,

%U 73,74,76,77,78,80,82,84,85,87,88,90,91,93,94,95,97,98

%N Positions of 0 in A288508; complement of A288510.

%C Conjecture:  a(n)/n -> 1.52..., and if m denotes this number, then -1 < m - a(n)/n) < 1 for n >= 1.

%H Clark Kimberling, <a href="/A288509/b288509.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", "10" -> "001"}]

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

%t st = ToCharacterCode[w[18]] - 48   (* A288508 *)

%t Flatten[Position[st, 0]]  (* A288509 *)

%t Flatten[Position[st, 1]]  (* A288510 *)

%Y Cf. A288508, A288510.

%K nonn,easy

%O 1,2

%A _Clark Kimberling_, Jun 12 2017