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A288934 Positions of 1 in A288932; complement of A288933. 3

%I #4 Jun 25 2017 23:01:13

%S 1,3,5,6,8,10,11,12,14,16,17,19,21,22,23,24,26,28,29,31,33,34,35,37,

%T 39,40,42,44,45,46,47,48,50,52,53,55,57,58,59,61,63,64,66,68,69,70,71,

%U 73,75,76,78,80,81,82,84,86,87,89,91,92,93,94,95,96,98,100

%N Positions of 1 in A288932; complement of A288933.

%C Conjecture: a(n)/n -> 3/2, and -2/3 < 3/2 - a(n)/n < 1/2 for n >= 1.

%H Clark Kimberling, <a href="/A288934/b288934.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", "1" -> "10101"}]

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

%t st = ToCharacterCode[w[11]] - 48 (* A288932 *)

%t Flatten[Position[st, 0]] (* A288933 *)

%t Flatten[Position[st, 1]] (* A288934 *)

%Y Cf. A288932, A288933.

%K nonn,easy

%O 1,2

%A _Clark Kimberling_, Jun 25 2017

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Last modified April 25 03:15 EDT 2024. Contains 371964 sequences. (Running on oeis4.)