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Positions of 0 in A285596; complement of A285598.
3

%I #4 May 01 2017 08:30:26

%S 1,5,11,15,19,25,29,33,39,43,47,51,55,61,65,69,75,79,83,89,93,97,103,

%T 107,111,117,121,125,129,133,139,143,147,153,157,161,167,171,175,179,

%U 183,189,193,197,203,207,211,217,221,225,229,233,239,243,247,253

%N Positions of 0 in A285596; complement of A285598.

%C Conjecture: a(n)/n -> (5+sqrt(17))/2.

%H Clark Kimberling, <a href="/A285597/b285597.txt">Table of n, a(n) for n = 1..10000</a>

%e As a word, A285596 = 011101111101110..., in which 0 is in positions 1,5,11,15,19,...

%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, A285598, A285599.

%K nonn,easy

%O 1,2

%A _Clark Kimberling_, May 01 2017