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A288624 Positions of 1 in A288622; complement of A288623. 3

%I

%S 3,5,7,8,11,13,14,17,19,20,23,26,29,31,33,34,37,39,40,43,46,49,51,53,

%T 54,57,59,60,63,66,69,71,73,74,77,80,82,84,85,88,91,93,95,96,99,101,

%U 102,105,107,108,111,114,117,119,121,122,125,127,128,131,134

%N Positions of 1 in A288622; complement of A288623.

%C Conjecture: a(n)/n->2.19..., and if m denotes this number, then -1 < m - a(n)/n) < 1 for n >= 1.

%H Clark Kimberling, <a href="/A288624/b288624.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" -> "0110", "1" -> "01"}]

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

%t st = ToCharacterCode[w[10]] - 48 (* A288622 *)

%t Flatten[Position[st, 0]] (* A288623 *)

%t Flatten[Position[st, 1]] (* A288624 *)

%Y Cf. A288622, A288623.

%K nonn,easy

%O 1,1

%A _Clark Kimberling_, Jun 14 2017

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Last modified January 20 20:50 EST 2021. Contains 340332 sequences. (Running on oeis4.)