A285140 - OEIS

%I #4 Apr 21 2017 08:06:36

%S 1,2,4,6,7,8,10,12,14,16,17,18,20,22,23,24,26,28,30,32,33,34,36,38,39,

%T 40,42,44,45,46,48,50,51,52,54,56,58,60,61,62,64,66,67,68,70,72,74,76,

%U 77,78,80,82,83,84,86,88,90,92,93,94,96,98,99,100,102

%N Positions of 0 in A285139; complement of A285141.

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

%H Clark Kimberling, <a href="/A285140/b285140.txt">Table of n, a(n) for n = 1..10000</a>

%e As a word, A285139 = 001010..., in which 0 is in positions 1,2,4,6,7,...

%t s = Nest[Flatten[# /. {0 -> {1, 0}, 1 -> {0, 0, 1, 0}}] &, {0}, 12]; (* A285139 *)

%t Flatten[Position[s, 0]];  (* A285140 *)

%t Flatten[Position[s, 1]];  (* A285141 *)

%Y Cf. A285139, A285141, A285142.

%K nonn,easy

%O 1,2

%A _Clark Kimberling_, Apr 20 2017