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%I #18 Sep 08 2022 08:45:57
%S 1,2,2,3,1,3,2,1,1,1,1,8,2,17,2,3,10,2,23,1,4,1,2,1,4,1,2,35,4,1,1,1,
%T 2,5,4,1,1,3,17,3,2,1,3,1,3,1,1,10,3,1,13,1,1,1,4,1,2,2,2,1,2,15,3,2,
%U 5,6,2,1,15,132,4,2,1,1,19,1,4,1,2,5,2,16,2,1,15,5,2,10,13,1,1
%N Continued fraction of (3 + sqrt(9 + 12*sqrt(3)))/6.
%C Equivalent to the periodic continued fraction [1, x, 1, x,...], where x=sqrt(3). (See A188635.)
%H G. C. Greubel, <a href="/A190263/b190263.txt">Table of n, a(n) for n = 1..10000</a>
%t r=3^(1/2)
%t FromContinuedFraction[{1, r, {1, r}}]
%t FullSimplify[%]
%t ContinuedFraction[%, 100] (* A190263 *)
%t RealDigits[N[%%, 120]] (* A190262 *)
%t N[%%%, 40]
%t ContinuedFraction[(3 + Sqrt[9 + 12*Sqrt[3]])/6, 100] (* _G. C. Greubel_, Dec 26 2017 *)
%o (PARI) contfrac((3+sqrt(9+sqrt(432)))/6) \\ _Charles R Greathouse IV_, Jul 29 2011
%o (Magma) ContinuedFraction((3 + sqrt(9 + 12*sqrt(3)))/6); // _G. C. Greubel_, Dec 28 2017
%Y Cf. A188635, A190262.
%K nonn,cofr
%O 1,2
%A _Clark Kimberling_, May 06 2011
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