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A285033 Positions of 1 in A285031; complement of A285032. 3

%I #4 Apr 19 2017 09:19:59

%S 3,4,8,9,11,13,17,18,20,24,27,28,32,33,37,38,40,42,46,47,49,53,56,57,

%T 59,61,65,68,69,71,73,77,80,81,85,86,90,91,93,95,99,100,102,106,109,

%U 110,112,114,118,121,122,126,127,131,132,134,136,140,143,144,148

%N Positions of 1 in A285031; complement of A285032.

%C Conjecture: -1 < n*r - a(n) < 2 for n>=1, where r = 1 + sqrt(2).

%H Clark Kimberling, <a href="/A285033/b285033.txt">Table of n, a(n) for n = 1..10000</a>

%e As a word, A285031 = 00110..., in which 1 is in positions 3,4,8,9,11,...

%t s = Nest[Flatten[# /. {0 -> {1, 0}, 1 -> {0, 0, 1}}] &, {0}, 8]; (* A285031 *)

%t Flatten[Position[s, 0]]; (* A285032 *)

%t Flatten[Position[s, 1]]; (* A285033 *)

%Y Cf. A285031, A285032, A285036.

%K nonn,easy

%O 1,1

%A _Clark Kimberling_, Apr 19 2017

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Last modified March 29 02:23 EDT 2024. Contains 371264 sequences. (Running on oeis4.)