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A094642
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Decimal expansion of log(Pi/2).
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2
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4, 5, 1, 5, 8, 2, 7, 0, 5, 2, 8, 9, 4, 5, 4, 8, 6, 4, 7, 2, 6, 1, 9, 5, 2, 2, 9, 8, 9, 4, 8, 8, 2, 1, 4, 3, 5, 7, 1, 7, 9, 4, 6, 7, 8, 5, 5, 5, 0, 5, 6, 3, 1, 7, 3, 9, 2, 9, 4, 3, 0, 6, 1, 9, 7, 8, 7, 4, 4, 1, 4, 7, 9, 1, 5, 1, 3, 1, 3, 6, 4, 1, 7, 7, 7, 5, 9, 9, 4, 3, 2, 7, 9, 0, 7, 1, 0, 2, 0, 1, 6, 0, 0, 0, 8
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OFFSET
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0,1
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REFERENCES
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G. Boros and V. Moll, Irresistible Integrals: Symbolics, Analysis and Experiments in the Evaluation of Integrals, Cambridge University Press, Cambridge, 2004, Chap. 7.
J. Borwein and P. Borwein, Pi and the AGM, John Wiley & Sons, New York, 1987, Chap. 11.
D. Huylebrouck, Similarities in irrationality proofs for Pi, ln2, zeta(2) and zeta(3), Amer. Math. Monthly 108 (2001) 222-231.
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LINKS
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Table of n, a(n) for n=0..104.
J. Sondow, A faster product for pi and a new integral for ln(pi/2), Amer. Math. Monthly 112 (2005), 729-734 and 113 (2006), 670.
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FORMULA
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Equals sum(n>=1, zeta(2*n)/(n*2^(2*n)). [Jean-François Alcover, Apr 29 2013, cf. Boros & Moll p. 131]
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EXAMPLE
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log(Pi/2) = 0.4515827...
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MATHEMATICA
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RealDigits[ Log[Pi/2], 10, 111][[1]]
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CROSSREFS
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Cf. A094643.
Sequence in context: A010662 A131131 A073241 * A069284 A068447 A199384
Adjacent sequences: A094639 A094640 A094641 * A094643 A094644 A094645
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KEYWORD
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cons,easy,nonn
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AUTHOR
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Jonathan Sondow and Robert G. Wilson v, May 18 2004
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STATUS
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approved
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