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Positions of 0 in A285661; complement of A285663.
3

%I #4 May 02 2017 20:48:32

%S 3,4,7,8,15,16,19,20,27,28,31,32,35,36,39,40,43,44,47,48,55,56,59,60,

%T 67,68,71,72,75,76,79,80,83,84,87,88,95,96,99,100,107,108,111,112,119,

%U 120,123,124,131,132,135,136,143,144,147,148,155,156,159,160

%N Positions of 0 in A285661; complement of A285663.

%C Conjecture: a(n)/n -> (3 + sqrt(5))/2.

%H Clark Kimberling, <a href="/A285662/b285662.txt">Table of n, a(n) for n = 1..10000</a>

%e As a word, A285661 = 110011001..., in which 0 is in positions 3,4,7,8,15,...

%t s = Nest[Flatten[# /. {0 -> {1, 1}, 1 -> {1, 1, 0, 0}}] &, {0}, 9] (* A285661 *)

%t Flatten[Position[s, 0]] (* A285662 *)

%t Flatten[Position[s, 1]] (* A285663 *)

%Y Cf. A285661, A285663.

%K nonn,easy

%O 1,1

%A _Clark Kimberling_, May 02 2017