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A049810 a(n)=number of Farey fractions of order n that are <=1/6; cf. A049805. 8

%I #8 Nov 14 2012 10:12:08

%S 1,1,1,1,1,2,3,4,5,6,7,8,10,11,13,14,16,17,20,22,24,26,29,30,34,36,39,

%T 41,45,46,51,54,58,61,65,67,73,76,80,82,88,90,97,101,105,109,116,119,

%U 126,129,135,139,147,150,158,162,168,173,182

%N a(n)=number of Farey fractions of order n that are <=1/6; cf. A049805.

%t Farey[n_] := Union[Flatten[Join[{0}, Table[a/b, {b, n}, {a, b}]]]]; f[n_] := Length@ Select[ Farey@ n, # <= 1/6 &]; Array[f, 59] (* _Robert G. Wilson v_, Nov 14 2012 *)

%Y Cf. A005728, A049806, A049807, A049808, A049809, A049811, A049812, A049813, A049814.

%K nonn

%O 1,6

%A _Clark Kimberling_

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Last modified April 19 16:52 EDT 2024. Contains 371794 sequences. (Running on oeis4.)