Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%I #4 Jun 17 2017 18:26:34
%S 2,3,4,5,6,7,8,10,11,12,13,14,15,17,18,19,20,21,22,24,25,26,28,29,30,
%T 31,32,33,34,36,37,38,39,40,41,43,44,45,47,48,49,51,52,53,54,55,56,58,
%U 59,60,61,62,63,65,66,67,69,70,71,73,74,75,76,77,78,80
%N Positions of 0 in A287457; complement of A287186.
%C Conjecture: a(n)/n -> 1.20..., and if m denotes this number, then -1 < m - a(n)/n) < 1 for n >= 1.
%H Clark Kimberling, <a href="/A287519/b287519.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" -> "000"}]
%t Table[w[n], {n, 0, 8}]
%t st = ToCharacterCode[w[23]] - 48 (* A287457 *)
%t Flatten[Position[st, 0]] (* A287519 *)
%t Flatten[Position[st, 1]] (* A287186 *)
%Y Cf. A287457, A287186.
%K nonn,easy
%O 1,1
%A _Clark Kimberling_, Jun 17 2017