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A288674 Positions of 0 in A288673; complement of A288675. 3

%I

%S 1,3,4,5,6,8,9,10,11,12,13,14,15,18,19,21,22,23,24,26,27,28,29,30,31,

%T 32,33,36,37,38,39,40,41,44,45,46,47,48,49,52,53,56,57,60,61,63,64,65,

%U 66,68,69,70,71,73,74,75,76,77,78,79,80,83,84,86,87,88

%N Positions of 0 in A288673; complement of A288675.

%C Conjecture: a(n)/n->1.41..., and if m denotes this number, then -1 < m - a(n)/n) < 1 for n >= 1.

%H Clark Kimberling, <a href="/A288674/b288674.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", "10" -> "000"}]

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

%t st = ToCharacterCode[w[14]] - 48 (* A288673 *)

%t Flatten[Position[st, 0]] (* A288674 *)

%t Flatten[Position[st, 1]] (* A288675 *)

%Y Cf. A288673, A288675.

%K nonn,easy

%O 1,2

%A _Clark Kimberling_, Jun 15 2017

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Last modified November 28 09:51 EST 2021. Contains 349401 sequences. (Running on oeis4.)