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A243258
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Decimal expansion of a constant related to the asymptotic expansion of the smallest Lebesgue constant corresponding to an optimal interpolation data set.
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2
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5, 2, 1, 2, 5, 1, 6, 2, 6, 4, 5, 5, 4, 0, 9, 8, 2, 1, 0, 0, 5, 2, 1, 9, 2, 0, 4, 1, 2, 7, 1, 7, 8, 3, 0, 1, 8, 0, 1, 8, 6, 2, 0, 3, 8, 9, 6, 3, 9, 7, 5, 6, 3, 0, 4, 5, 2, 0, 6, 3, 3, 3, 1, 1, 0, 5, 1, 4, 1, 9, 9, 2, 0, 7, 7, 7, 9, 2, 7, 0, 6, 5, 6, 3, 7, 3, 8, 8, 6, 2, 5, 2, 1, 9, 4, 5, 8, 4, 9, 5, 9, 6, 7, 8
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OFFSET
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0,1
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REFERENCES
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Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 4.2 Lebesgue constants, p. 254.
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LINKS
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FORMULA
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Equals 2/Pi*(2*log(2) - log(Pi) + gamma), where gamma is the Euler-Mascheroni constant.
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EXAMPLE
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0.5212516264554098210052192041271783...
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MATHEMATICA
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RealDigits[2/Pi*(2*Log[2] - Log[Pi] + EulerGamma), 10, 104] // First
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PROG
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(PARI) default(realprecision, 100); (2/Pi)*(2*log(2) - log(Pi) + Euler) \\ G. C. Greubel, Sep 04 2018
(Magma) SetDefaultRealField(RealField(100)); R:= RealField(); (2/Pi(R))*(2*Log(2) - Log(Pi(R)) + EulerGamma(R)); // G. C. Greubel, Sep 04 2018
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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