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%I #4 Apr 20 2017 09:23:25
%S 2,3,4,6,9,10,12,13,14,17,18,20,21,22,25,26,28,29,31,32,33,35,38,39,
%T 41,42,44,45,46,49,50,51,53,56,57,59,60,61,64,65,67,68,70,71,72,74,77,
%U 78,80,81,82,85,86,88,89,90,93,94,96,97,99,100,101,104,105
%N Positions of 1 in A285080; complement of A285081.
%C Conjecture: -1 < n*r - a(n) < 1 for n>=1, where r = (1+sqrt(5))/2, the golden ratio.
%H Clark Kimberling, <a href="/A285082/b285082.txt">Table of n, a(n) for n = 1..46367</a>
%e As a word, A285080 = 01110..., in which 1 is in positions 2,3,4,6,9,...
%t s = Nest[Flatten[# /. {0 -> {1, 0}, 1 -> {0, 1, 1}}] &, {0}, 14]; (* A285080 *)
%t Flatten[Position[s, 0]]; (* A285081 *)
%t Flatten[Position[s, 1]]; (* A285082 *)
%Y Cf. A001622, A285080, A285081, A285083, A285084.
%K nonn,easy
%O 1,1
%A _Clark Kimberling_, Apr 19 2017
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