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
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).
EXAMPLE
3.1320337...
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
KEYWORD
cons,nonn
AUTHOR
Benoit Cloitre, May 24 2003
STATUS
approved