A285137 - OEIS

%I #4 Apr 21 2017 08:06:16

%S 2,4,6,7,8,9,11,12,13,16,18,20,22,23,24,25,27,28,29,32,34,36,38,39,40,

%T 41,43,44,45,48,49,50,51,54,55,56,57,60,61,62,63,66,68,70,72,73,74,75,

%U 77,78,79,82,83,84,85,88,89,90,91,94,96,98,100,101,102

%N Positions of 0 in A285136; complement of A285138.

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

%H Clark Kimberling, <a href="/A285137/b285137.txt">Table of n, a(n) for n = 1..10000</a>

%e As a word, A285136 = 10101000010..., in which 0 is in positions 2,4,6,7,...

%t s = Nest[Flatten[# /. {0 -> {1, 0}, 1 -> {0, 0, 0, 1}}] &, {0}, 11]; (* A285136 *)

%t Flatten[Position[s, 0]];  (* A285137 *)

%t Flatten[Position[s, 1]];  (* A285138 *)

%Y Cf. A285133, A285136, A285138.

%K nonn,easy

%O 1,1

%A _Clark Kimberling_, Apr 20 2017