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Positions of 0 in A285133; complement of A285135.
3

%I #4 Apr 21 2017 08:05:54

%S 1,2,3,6,7,8,9,12,13,14,15,18,20,22,24,25,26,27,30,32,34,35,36,37,39,

%T 40,41,44,45,46,47,50,51,52,53,56,57,58,59,62,64,66,68,69,70,71,74,76,

%U 78,79,80,81,83,84,85,88,89,90,91,94,95,96,97,100,101,102

%N Positions of 0 in A285133; complement of A285135.

%C Conjecture: -1 < n*r - a(n) < 1 for n>=1, where r = 1 + sqrt(1/3).

%H Clark Kimberling, <a href="/A285134/b285134.txt">Table of n, a(n) for n = 1..10000</a>

%e As a word, A285133 = 000110..., in which 0 is in positions 1,2,3,6,7,...

%t s = Nest[Flatten[# /. {0 -> {1, 0}, 1 -> {0, 0, 0, 1}}] &, {0}, 12]; (* A285133 *)

%t Flatten[Position[s, 0]]; (* A285134 *)

%t Flatten[Position[s, 1]]; (* A285135 *)

%Y Cf. A285133, A285135, A285136.

%K nonn,easy

%O 1,2

%A _Clark Kimberling_, Apr 20 2017