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 A047787 Decimal expansion of (-1)*Gamma'(1/3)/Gamma(1/3) where Gamma(x) denotes the Gamma function. 11
 3, 1, 3, 2, 0, 3, 3, 7, 8, 0, 0, 2, 0, 8, 0, 6, 3, 2, 2, 9, 9, 6, 4, 1, 9, 0, 7, 4, 2, 8, 7, 2, 6, 8, 8, 5, 4, 1, 5, 5, 4, 2, 8, 2, 9, 6, 7, 2, 0, 4, 1, 8, 0, 6, 4, 1, 9, 2, 7, 5, 1, 2, 0, 3, 0, 3, 5, 1, 7, 0, 7, 5, 7, 1, 6, 8, 7, 5, 5, 0, 6, 3, 0, 8, 9, 4, 3, 3, 1, 8, 9, 6, 1, 8, 3, 7, 4, 9, 6, 7, 1, 2, 4, 6, 9 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Decimal expansion of -psi(1/3). - Benoit Cloitre, Mar 07 2004 REFERENCES S. J. Patterson, "An introduction to the theory of the Riemann zeta function", Cambridge studies in advanced mathematics no. 14, p. 135 LINKS G. C. Greubel, Table of n, a(n) for n = 1..10000 FORMULA Gamma'(1/3)/Gamma(1/3)=-EulerGamma-(3/2)*log(3)-Pi/(2*sqrt(3))=-3.13203378002... where EulerGamma is the Euler-Mascheroni constant (A001620). MATHEMATICA RealDigits[PolyGamma[1/3], 10, 105] // First (* Jean-François Alcover, Aug 08 2015 *) PROG (PARI) Euler+(3/2)*log(3)+Pi/(2*sqrt(3)) (MAGMA) SetDefaultRealField(RealField(100)); R:= RealField(); EulerGamma(R) + (3/2)*Log(3) + Pi(R)/(2*Sqrt(3)); // G. C. Greubel, Aug 28 2018 CROSSREFS Sequence in context: A099906 A262026 A270390 * A102668 A243848 A271617 Adjacent sequences:  A047784 A047785 A047786 * A047788 A047789 A047790 KEYWORD cons,nonn AUTHOR Benoit Cloitre, May 24 2003 STATUS approved

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Last modified June 17 06:06 EDT 2019. Contains 324183 sequences. (Running on oeis4.)