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A094643 Continued fraction for log Pi/2. 1

%I #11 Oct 02 2017 07:03:10

%S 0,2,4,1,1,1,33,1,4,2,1,2,1,17,1,1,4,4,1,2,1,3,1,3,1,17,54,1,4,1,3,38,

%T 1,2,1,1,2,3,4,3,1,4,1,8,4,2,1,4,12,1,1,1,2,1,1,1,3,1,1,1,1,1,2,1,1,

%U 16,3,2,4,1,5,1,12,1,2,14,1,1,1,2,3,2,16,3,4,4,1,1,10,198,2,6,2,1,2,3,1,2

%N Continued fraction for log Pi/2.

%D G. Boros and V. Moll, Irresistible Integrals: Symbolics, Analysis and Experiments in the Evaluation of Integrals, Cambridge University Press, Cambridge, 2004, Chap. 7.

%D J. Borwein and P. Borwein, Pi and the AGM, John Wiley & Sons, New York, 1987, Chap. 11.

%H D. Huylebrouck, <a href="https://www.maa.org/sites/default/files/pdf/upload_library/22/Ford/Huylebrouck222-231.pdf">Similarities in irrationality proofs for Pi, ln2, zeta(2) and zeta(3)</a>, Amer. Math. Monthly 108 (2001) 222-231.

%H J. Sondow, <a href="http://arXiv.org/abs/math.NT/0401406">A faster product for pi and a new integral for ln(pi/2)</a>, Amer. Math. Monthly 112 (2005), 729-734 and 113 (2006), 670.

%t ContinuedFraction[ Log[Pi/2], 100]

%Y Cf. A094642.

%K cofr,easy,nonn

%O 1,2

%A _Jonathan Sondow_ and _Robert G. Wilson v_, May 18 2004

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