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A286802 Positions of 0 in A286801; complement of A286803. 3

%I

%S 3,6,7,9,12,15,16,18,21,24,27,28,30,33,36,37,39,42,45,48,49,51,54,57,

%T 58,60,63,66,67,69,72,75,78,79,81,84,87,88,90,93,96,99,100,102,105,

%U 108,109,111,114,117,118,120,123,126,129,130,132,135,138,139,141

%N Positions of 0 in A286801; complement of A286803.

%C a(n) - a(n-1) is in {1,2,3} for n>=2, and a(n)/n -> (12 + 3*sqrt(2))/7.

%H Clark Kimberling, <a href="/A286802/b286802.txt">Table of n, a(n) for n = 1..10000</a>

%e As a word, A286801 = 11011001011011001011011..., in which 0 is in positions 3,6,7,9,12,...

%t s = Nest[Flatten[# /. {0 -> {0, 0, 1}, 1 -> {0}}] &, {0}, 16]; (* Pell word, A171588 *)

%t w = StringJoin[Map[ToString, s]];

%t w1 = StringReplace[w, {"0" -> "110", "1" -> "010"}];

%t st = ToCharacterCode[w1] - 48 ; (* A286801 *)

%t Flatten[Position[st, 0]]; (* A286802 *)

%t Flatten[Position[st, 1]]; (* A286803 *)

%Y Cf. A171588, A286801, A286803.

%K nonn,easy

%O 1,1

%A _Clark Kimberling_, May 16 2017

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Last modified June 19 16:48 EDT 2019. Contains 324222 sequences. (Running on oeis4.)