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Search: id:A094643
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| A094643 |
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Continued fraction for log Pi/2. |
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+0
2
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| 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, 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, 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
(list; graph; listen)
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OFFSET
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1,2
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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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J. Sondow, A faster product for pi and a new integral for ln(pi/2).
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MATHEMATICA
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ContinuedFraction[ Log[Pi/2], 100
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CROSSREFS
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Cf. A094642.
Sequence in context: A059817 A099803 A010741 this_sequence A094593 A007738 A158570
Adjacent sequences: A094640 A094641 A094642 this_sequence A094644 A094645 A094646
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KEYWORD
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cofr,easy,nonn
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AUTHOR
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Jonathan Sondow (jsondow(AT)alumni.princeton.edu) and Robert G. Wilson v (rgwv(AT)rgwv.com), May 18 2004
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