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Positions of 0 in A288372; complement of A288316.
3

%I #4 Jun 10 2017 22:29:35

%S 1,2,3,5,6,8,9,10,12,14,15,16,18,19,21,22,24,25,26,28,29,31,32,33,35,

%T 37,38,39,41,43,44,45,47,48,50,51,52,54,56,57,58,60,61,63,64,66,67,68,

%U 70,71,73,74,76,77,78,80,81,83,84,85,87,89,90,91,93,94

%N Positions of 0 in A288372; complement of A288316.

%C Conjecture: a(n)/n-> 1.44..., and if m denotes this number, then -1 < m - a(n)/n < 1 for n >= 1.

%H Clark Kimberling, <a href="/A288373/b288373.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" -> "0001", "1" -> "01"}]

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

%t st = ToCharacterCode[w[11]] - 48 (* A288372 *)

%t Flatten[Position[st, 0]] (* A288373 *)

%t Flatten[Position[st, 1]] (* A288374 *)

%Y Cf. A288372, A288374.

%K nonn,easy

%O 1,2

%A _Clark Kimberling_, Jun 09 2017