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A188721 Continued fraction of (e+sqrt(4+e^2))/2. 2

%I

%S 3,21,2,40,1,8,1,18,1,4,2,7,14,25,1,2,1,4,1,1,1,1,2,8,50,4,1,1,3,1,11,

%T 1,1,2,3,1,1,3,1,2,22,1,1,4,1,4,1,1,4,4,2,2,2,57,1,1,34,5,1,2,2,1,1,8,

%U 13,2,3,3,17,1,1,49,1,2,1,5,1,7,1,9,1,11,1,1,7,13,1,1,59,4,8,1,3,1,4,6,1,9,11,1,1,4,456,2,8,23,2,4,2,2,1066,1,2,2,1,11,1,3,2,26

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

%C See A188640 and A188720.

%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. A188640, A188720.

%K nonn,cofr

%O 1,1

%A _Clark Kimberling_, Apr 09 2011

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