A288712 - OEIS

%I #6 Jun 19 2017 09:17:15

%S 2,3,4,5,6,8,9,10,11,12,14,15,16,18,19,20,21,22,24,25,26,27,28,30,31,

%T 32,34,35,36,37,38,40,41,42,44,45,46,47,48,50,51,52,53,54,56,57,58,60,

%U 61,62,63,64,66,67,68,69,70,72,73,74,76,77,78,79,80,82

%N Positions of 0 in A288711; complement of A288713.

%C Conjecture:  a(n)/n-> -1 + sqrt(5), and if m denotes this number, then -1 < m - a(n)/n) < 1 for n >= 1.

%C Appears to differ from A288708 only at a(1). - _R. J. Mathar_, Jun 19 2017

%H Clark Kimberling, <a href="/A288712/b288712.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" -> "1000", "10" -> "00"}]

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

%t st = ToCharacterCode[w[9]] - 48   (* A288711 *)

%t Flatten[Position[st, 0]]  (* A288712 *)

%t Flatten[Position[st, 1]]  (* A288713 *)

%Y Cf. A288711, A288713.

%K nonn,easy

%O 1,1

%A _Clark Kimberling_, Jun 16 2017