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A064849 Period of continued fraction for sqrt(3)*n. 0

%I #10 Feb 10 2016 13:32:04

%S 2,2,2,2,4,8,2,4,10,4,2,8,6,2,2,8,6,20,4,8,14,8,8,12,16,2,30,2,16,4,

%T 18,16,10,20,16,20,18,8,6,12,2,12,8,8,6,20,20,20,30,36,6,2,8,68,14,2,

%U 16,32,22,4,38,18,40,36,6,28,10,20,40,8,4,40,18,22,16,12,28,2,46,20,98,8

%N Period of continued fraction for sqrt(3)*n.

%e A040001 (cfrac for n=1) has period length 2, so a(1)=2. A040008 (cfrac for n=2) has period length 2, so a(2)=2. A040021 (cfrac for =3) has period length 2, so a(3)=2. - _R. J. Mathar_, Feb 10 2016

%t Table[Length[Last[ContinuedFraction[Sqrt[3] n]]], {n, 128}]

%K nonn

%O 1,1

%A _R. K. Guy_, Oct 26 2001

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