|
%I #6 Jun 22 2017 14:17:18
%S 3,6,8,12,17,20,22,28,30,35,39,42,44,48,53,57,60,62,67,69,75,78,80,86,
%T 88,93,97,100,102,108,111,113,117,122,124,129,133,136,138,143,145,151,
%U 155,158,160,164,169,172,174,180,182,187,191,194,196,200,205,209
%N Positions of 1 in A288216; complement of A288217.
%C Conjecture: a(n)/n -> 3.61..., and if m denotes this number, then 0 < m - a(n)/n) < 1 for n >= 1.
%H Clark Kimberling, <a href="/A288218/b288218.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" -> "010"}]
%t Table[w[n], {n, 0, 8}]
%t st = ToCharacterCode[w[21]] - 48 (* A288216 *)
%t Flatten[Position[st, 0]] (* A288217 *)
%t Flatten[Position[st, 1]] (* A288218 *)
%Y Cf. A288216, A288217.
%K nonn,easy
%O 1,1
%A _Clark Kimberling_, Jun 19 2017
|
