A285598 - OEIS

%I #4 May 01 2017 08:30:34

%S 2,3,4,6,7,8,9,10,12,13,14,16,17,18,20,21,22,23,24,26,27,28,30,31,32,

%T 34,35,36,37,38,40,41,42,44,45,46,48,49,50,52,53,54,56,57,58,59,60,62,

%U 63,64,66,67,68,70,71,72,73,74,76,77,78,80,81,82,84,85

%N Positions of 1 in A285596; complement of A285597.

%C Conjecture:  a(n)/n -> (1+sqrt(17))/4.

%H Clark Kimberling, <a href="/A285598/b285598.txt">Table of n, a(n) for n = 1..10000</a>

%e As a word, A285596 = 011101111101110..., in which 1 is in positions 2,3,4,6,7,...

%t s = Nest[Flatten[# /. {0 -> {1, 1}, 1 -> {0, 1, 1, 1}}] &, {0}, 10] (* A285596 *)

%t Flatten[Position[s, 0]]  (* A285597 *)

%t Flatten[Position[s, 1]]  (* A285598 *)

%Y Cf. A285596, A285597, A285599.

%K nonn,easy

%O 1,1

%A _Clark Kimberling_, May 01 2017