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A189041 Continued fraction for (e+sqrt(-4+e^2))/2. 2

%I #6 Mar 30 2012 18:57:23

%S 2,3,1,1,2,1,3,2,1,1,2,2,1,3,3,2,1,1,1,2,23,1,1,2,33,1,1,3,1,1,20,5,

%T 40,1,3,1,25,1,2,1,26,1,6,3,1,5,5,7,1,24,5,14,1,1,2,1,8,2,1,1,10,1,1,

%U 2,1,2,2,1440,2,17,1,1,3,4,1,18,2,1,1,1,8,1,5,1,4,18,1,3,5,1,24,3,4,1,1,4,4,1,137,3,1,1,1,6,1,1,7,1,1,2,6,1,1,5,1,2,5,7,1,3

%N Continued fraction for (e+sqrt(-4+e^2))/2.

%e (e+sqrt(-4+e^2))/2=[2,3,1,1,2,1,3,2,1,1,2,2,...]

%t r = E; t = (r + (-4 + r^2)^(1/2))/2; FullSimplify[t]

%t N[t, 130]

%t RealDigits[N[t, 130]][[1]]

%t ContinuedFraction[t, 120]

%Y Cf. A189040.

%K nonn,cofr

%O 1,1

%A _Clark Kimberling_, Apr 15 2011

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Last modified April 25 05:18 EDT 2024. Contains 371964 sequences. (Running on oeis4.)