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Positions of 0 in A284751; complement of A284753.
3

%I #7 Apr 27 2017 13:01:12

%S 1,3,4,5,7,9,11,13,14,15,17,19,20,21,23,25,26,27,29,31,32,33,35,37,39,

%T 41,42,43,45,47,48,49,51,53,55,57,58,59,61,63,64,65,67,69,71,73,74,75,

%U 77,79,80,81,83,85,87,89,90,91,93,95,96,97,99,101,102

%N Positions of 0 in A284751; complement of A284753.

%C Conjecture: -1 < n*r - a(n) < 3 for n >= 1, where r = (3+sqrt(3))/3.

%H Clark Kimberling, <a href="/A284752/b284752.txt">Table of n, a(n) for n = 1..10000</a>

%H <a href="/index/Fi#FIXEDPOINTS">Index entries for sequences that are fixed points of mappings</a>

%e As a word, A284751 = 010001..., in which 0 is in positions 1,3,4,5,...

%t s = Nest[Flatten[# /. {0 -> {0, 1}, 1 -> {0, 0, 0, 1}}] &, {0}, 6] (* A284751 *)

%t Flatten[Position[s, 0]] (* A284752 *)

%t Flatten[Position[s, 1]] (* A284753 *)

%Y Cf. A284751, A284753.

%K nonn,easy

%O 1,2

%A _Clark Kimberling_, Apr 13 2017