A182545 Decimal expansion of | log_phi(gamma) |, where phi is the golden ratio and gamma is the Euler-Mascheroni constant.
1, 1, 4, 1, 9, 9, 0, 4, 5, 9, 0, 1, 1, 6, 3, 8, 4, 8, 9, 9, 1, 2, 4, 6, 2, 0, 8, 8, 1, 2, 0, 1, 7, 7, 4, 2, 9, 5, 7, 1, 5, 5, 2, 3, 5, 6, 1, 5, 0, 1, 7, 2, 7, 0, 4, 1, 9, 5, 6, 5, 7, 7, 0, 2, 6, 8, 0, 6, 9, 2, 4, 6, 2, 5, 2, 2, 0, 0, 0, 5, 3, 4, 8, 4, 0, 7, 1, 9, 1, 1, 7, 3, 7, 6, 3, 0, 3, 9, 7, 8, 2, 6, 9, 4, 3
Offset: 1
Examples
1.14199045901163848991246208812017742957155235615017...
Links
- G. C. Greubel, Table of n, a(n) for n = 1..10000
Programs
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Magma
SetDefaultRealField(RealField(100)); R:= RealField(); phi:=(1+Sqrt(5))/2; -Log(EulerGamma(R))/Log(phi); // G. C. Greubel, Sep 01 2018
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Mathematica
RealDigits[ N[Log[EulerGamma]/Log[GoldenRatio], 105]] [[1]]
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PARI
default(realprecision, 100); phi=(1+sqrt(5))/2; -log(Euler)/log(phi) \\ G. C. Greubel, Sep 01 2018
Formula
Equals 1/A182527.
Comments