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Positions of 0 in A285258; complement of A285260.
3

%I #9 Oct 07 2020 08:01:47

%S 2,3,6,7,10,12,13,16,18,19,22,24,26,27,30,31,34,36,38,39,42,43,46,48,

%T 49,52,54,55,58,60,62,63,66,67,70,72,74,75,78,79,82,84,85,88,90,92,93,

%U 96,97,100,102,103,106,108,109,112,114,116,117,120,121,124

%N Positions of 0 in A285258; complement of A285260.

%C Conjecture: 2n - a(n) is in {0,1} for n>=1.

%C See the comments of A285250 for a proof of this conjecture. - _Michel Dekking_, Oct 07 2020

%H Clark Kimberling, <a href="/A285259/b285259.txt">Table of n, a(n) for n = 1..10000</a>

%e As a word, A285258 = 10011001101..., in which 0 is in positions 2,3,6,7,10,...

%t s = Nest[Flatten[# /. {0 -> {1, 0}, 1 -> {0, 1, 1, 0}}] &, {0}, 11]; (* A285258 *)

%t Flatten[Position[s, 0]]; (* A285259 *)

%t Flatten[Position[s, 1]]; (* A285260 *)

%Y Cf. A285250, A285255, A285258, A285260.

%K nonn,easy

%O 1,1

%A _Clark Kimberling_, Apr 24 2017