A287551 - OEIS

%I #7 Jun 18 2017 22:09:36

%S 1,5,8,9,13,19,22,24,27,28,32,36,39,40,46,47,51,57,58,64,68,71,73,76,

%T 77,81,85,88,89,93,99,102,104,107,108,114,115,121,123,126,127,131,135,

%U 138,139,145,146,152,154,157,158,164,165,169,173,176,177,181,187

%N Positions of 1 in A287530; complement of A287531.

%C Conjecture: a(n)/n -> 3.19..., and if m denotes this number, then -1 < m - a(n)/n) < 3 for n >= 1.

%H Clark Kimberling, <a href="/A287551/b287551.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" -> "001"}]

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

%t st = ToCharacterCode[w[23]] - 48   (* A287530 *)

%t Flatten[Position[st, 0]]  (* A287531 *)

%t Flatten[Position[st, 1]]  (* A287551 *)

%Y Cf. A287530, A287531.

%K nonn,easy

%O 1,2

%A _Clark Kimberling_, Jun 18 2017