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A285965 Positions of 1 in A285963; complement of A285964. 3

%I #4 May 06 2017 00:27:11

%S 4,10,14,17,24,30,37,40,44,50,54,57,64,67,71,77,84,90,94,97,104,110,

%T 117,120,124,130,137,143,147,150,157,160,164,170,174,177,184,190,197,

%U 200,204,210,214,217,224,227,231,237,244,250,254,257,264,267,271,277

%N Positions of 1 in A285963; complement of A285964.

%C Conjecture: a(n)/n -> 5.

%H Clark Kimberling, <a href="/A285965/b285965.txt">Table of n, a(n) for n = 1..10000</a>

%e As a word, A285963 = 00010000010001001..., in which 1 is in positions 4,10,14,17,...

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

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

%t w1 = StringReplace[w, {"11" -> "0"}]

%t st = ToCharacterCode[w1] - 48 (* A285963 *)

%t Flatten[Position[st, 0]] (* A285964 *)

%t Flatten[Position[st, 1]] (* A285965 *)

%Y Cf. A010060, A285963, A285964.

%K nonn,easy

%O 1,1

%A _Clark Kimberling_, May 05 2017

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Last modified April 24 18:05 EDT 2024. Contains 371962 sequences. (Running on oeis4.)