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A286485 Positions of 0 in A286484; complement of A286486. 3

%I #4 May 10 2017 21:33:12

%S 1,4,6,7,10,13,15,18,19,22,24,25,28,31,32,35,37,40,42,43,46,49,51,54,

%T 55,58,60,63,65,66,69,72,73,76,78,79,82,85,87,90,91,94,96,97,100,103,

%U 104,107,109,112,114,115,118,121,122,125,127,128,131,134,136

%N Positions of 0 in A286484; complement of A286486.

%C a(n) - a(n-1) is in {1,2,3} for n>=2. Conjecture: a(n)/n -> 9/4.

%H Clark Kimberling, <a href="/A286485/b286485.txt">Table of n, a(n) for n = 1..10000</a>

%e As a word, A286484 = 01101001101101011001..., in which 0 is in positions 1,4,6,7,10,...

%t s = Nest[Flatten[# /. {0 -> {0, 1}, 1 -> {1, 0}}] &, {0}, 9] (* A010060 *)

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

%t w1 = StringReplace[w, {"0010" -> "0"}]

%t st = ToCharacterCode[w1] - 48 (* A286484 *)

%t Flatten[Position[st, 0]] (* A286485 *)

%t Flatten[Position[st, 1]] (* A286486 *)

%Y Cf. A010060, A286484, A286486.

%K nonn,easy

%O 1,2

%A _Clark Kimberling_, May 10 2017

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Last modified April 23 12:27 EDT 2024. Contains 371912 sequences. (Running on oeis4.)