%I
%S 2,3,6,7,9,10,12,13,16,17,19,20,21,22,24,25,28,29,31,32,34,35,38,39,
%T 42,43,46,47,49,50,52,53,56,57,59,60,61,62,64,65,68,69,71,72,74,75,78,
%U 79,81,82,84,85,88,89,91,92,93,94,96,97,100,101,103,104,106
%N Positions of 1 in A285565; complement of A285566.
%C Conjecture: a(n)/n > (1+sqrt(5))/2 = golden ratio (A001622).
%H Clark Kimberling, <a href="/A285567/b285567.txt">Table of n, a(n) for n = 1..6178</a>
%e As a word, A285565 = 01100110..., in which 1 is in positions 2,3,6,7,9,...
%t s = Nest[Flatten[# /. {0 > {1, 1}, 1 > {0, 1, 1, 0}}] &, {0}, 8] (* A285565 *)
%t Flatten[Position[s, 0]] (* A285566 *)
%t Flatten[Position[s, 1]] (* A285567 *)
%Y Cf. A001622, A285565, A285567, A285568.
%K nonn,easy
%O 1,1
%A _Clark Kimberling_, Apr 30 2017
