A284941 - OEIS

%I #8 Apr 27 2017 12:25:11

%S 2,3,4,6,7,8,10,11,12,14,16,17,18,20,21,22,24,25,26,28,30,31,32,34,35,

%T 36,38,39,40,42,44,45,46,48,50,51,52,54,55,56,58,59,60,62,64,65,66,68,

%U 69,70,72,73,74,76,78,79,80,82,83,84,86,87,88,90,92,93

%N Positions of 1 in A284939; complement of A080580.

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

%H Clark Kimberling, <a href="/A284941/b284941.txt">Table of n, a(n) for n = 1..10000</a>

%e As a word, A284939 = 0111011101..., in which 1 is in positions 2,3,4,6,7,8,...

%t s = Nest[Flatten[# /. {0 -> {0, 1}, 1 -> {1, 1, 0, 1}}] &, {0}, 6] (* A284939 *)

%t Flatten[Position[s, 0]]  (* A080580 *)

%t Flatten[Position[s, 1]]  (* A284941 *)

%Y Cf. A284939, A080580.

%K nonn,easy

%O 1,1

%A _Clark Kimberling_, Apr 18 2017