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A094641
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Continued fraction for the "alternating Euler constant" log(4/Pi).
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3
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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
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OFFSET
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1,2
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COMMENTS
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See the Comments in A094640 for why log(4/Pi) is an "alternating Euler constant."
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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.
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LINKS
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EXAMPLE
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log(4/Pi) = 0 + 1/(4 + 1/(7 + 1/(6 + 1/(3 + 1/(1 + ...)))))
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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 (decimal expansion of log(4/Pi)).
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KEYWORD
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cofr,easy,nonn
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AUTHOR
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STATUS
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approved
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