OFFSET
0,1
COMMENTS
The reference gives an interesting series representation with rational coefficients for Psi(1/2 + 1/Pi) = -log(Pi) + 1/4 + 1/16 - 5/576 - 13/512 - 569/25600 -539/36864 - 98671/12042240 - 16231/3932160 - ...
LINKS
Iaroslav V. Blagouchine, Two series expansions for the logarithm of the gamma function involving Stirling numbers and containing only rational coefficients for certain arguments related to 1/Pi, Mathematics of Computation (AMS), 2015.
EXAMPLE
-0.9236326759613377346000263347486747139894893215261027...
MAPLE
evalf(Psi(1/2+1/Pi), 120);
MATHEMATICA
RealDigits[PolyGamma[1/2+1/Pi], 10, 120][[1]]
PROG
(PARI) default(realprecision, 120); psi(1/2+1/Pi)
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Iaroslav V. Blagouchine, May 14 2015
STATUS
approved