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A285360 Positions of 1 in A285358; complement of A285359. 3

%I #4 Apr 26 2017 10:43:24

%S 1,2,4,5,6,8,9,11,12,14,15,16,18,19,20,22,23,25,26,28,29,30,32,33,35,

%T 36,38,39,40,42,43,45,46,48,49,50,52,53,54,56,57,59,60,62,63,64,66,67,

%U 68,70,71,73,74,76,77,78,80,81,83,84,86,87,88,90,91,93

%N Positions of 1 in A285358; complement of A285359.

%C Conjecture: 0 < n*sqrt(2) - a(n) < 2 for n>=1.

%H Clark Kimberling, <a href="/A285360/b285360.txt">Table of n, a(n) for n = 1..10000</a>

%e As a word, A285358 = 1101110..., in which 1 is in positions 1,2,4,5,6,8,...

%t s = Nest[Flatten[# /. {0 -> {1, 0}, 1 -> {1, 1, 0, 1}}] &, {0}, 10] (* A285358 *)

%t Flatten[Position[s, 0]] (* A285359 *)

%t Flatten[Position[s, 1]] (* A285360 *)

%Y Cf. A284358, A285359.

%K nonn,easy

%O 1,2

%A _Clark Kimberling_, Apr 25 2017

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