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Search: id:A094641
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| A094641 |
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Continued fraction for log 4/Pi. |
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+0
4
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| 0, 4, 7, 6, 3, 1, 1, 9, 1, 1, 4, 26, 1, 2, 4, 1, 9, 1, 20, 3, 1, 12, 1, 2, 7, 1, 5, 2, 1, 5, 3, 1, 1, 1, 4, 1, 1, 57, 1, 2, 1, 8, 8, 1, 1, 1, 1, 1, 22, 1, 1, 6, 1, 6, 6, 1, 3, 1, 4, 2, 2, 2, 4, 1, 1, 2, 1, 19, 17, 348, 1, 1, 5, 16, 2, 2, 5, 1, 5, 2, 4, 2, 5, 1, 11, 1, 1, 11, 13, 2, 1, 1, 5, 2, 1, 2, 10, 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.
J. Sondow, Double Integrals for Euler's Constant and ln(4/Pi) and an Analog of Hadjicostas's Formula, Amer. Math. Monthly 112 (2005) 61-65.
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LINKS
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J. Sondow, Double Integrals for Euler's Constant and ln(4/Pi).
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MATHEMATICA
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ContinuedFraction[ Log[4/Pi], 100]
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CROSSREFS
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Cf. A094640.
Sequence in context: A051544 A021025 A078974 this_sequence A112518 A056849 A116081
Adjacent sequences: A094638 A094639 A094640 this_sequence A094642 A094643 A094644
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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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