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A190261 Continued fraction of (1 + sqrt(1 + 2x))/2, where x=sqrt(2). 2

%I

%S 1,2,11,32,1,4,10,2,1,1,3,1,1,5,2,3,2,1,4,2,3,2,41,1,2,1,1,3,4,1,35,1,

%T 5,1,29661,2,1,1,2,1,1,1,1,1,2,5,2,2,2,1,1,1,5,15,2,1,1,1,2,7,1,1,1,

%U 13,1,1,1,1,20,2,1,2,1,1,1,1,1,4,1,1,1,1,3,14,1,8,2,1,1,1,1,2,1,3,2,3,1,8,2

%N Continued fraction of (1 + sqrt(1 + 2x))/2, where x=sqrt(2).

%C 1 followed by A190259.

%H G. C. Greubel, <a href="/A190261/b190261.txt">Table of n, a(n) for n = 1..10000</a>

%t r=2^(1/2);

%t FromContinuedFraction[{1, r, {1, r}}]

%t FullSimplify[%]

%t ContinuedFraction[%, 100] (* A190261 *)

%t RealDigits[N[%%, 120]] (* A190260 *)

%t N[%%%, 40]

%t ContinuedFraction[(1+Sqrt[1+2Sqrt[2]])/2,100] (* _Harvey P. Dale_, Jan 27 2013 *)

%o (PARI) contfrac((1+sqrt(1+2*sqrt(2)))/2) \\ _G. C. Greubel_, Dec 26 2017

%o (MAGMA) ContinuedFraction((1+Sqrt(1+2*Sqrt(2)))/2) // _G. C. Greubel_, Dec 26 2017

%Y Cf. A190260, A190259.

%K nonn,cofr

%O 1,2

%A _Clark Kimberling_, May 06 2011

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Last modified November 22 03:20 EST 2019. Contains 329383 sequences. (Running on oeis4.)