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A257959

Decimal expansion of the Digamma function at 1/2 + 1/Pi, negated.

9, 2, 3, 6, 3, 2, 6, 7, 5, 9, 6, 1, 3, 3, 7, 7, 3, 4, 6, 0, 0, 0, 2, 6, 3, 3, 4, 7, 4, 8, 6, 7, 4, 7, 1, 3, 9, 8, 9, 4, 8, 9, 3, 2, 1, 5, 2, 6, 1, 0, 2, 7, 5, 3, 8, 5, 3, 5, 3, 9, 9, 3, 1, 5, 7, 2, 2, 0, 1, 3, 8, 9, 5, 4, 1, 0, 3, 9, 8, 8, 6, 7, 3, 3, 8, 7, 7, 1, 3, 7, 8, 2, 8, 0, 9, 1, 7, 3, 1, 0, 8, 9, 4

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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

Table of n, a(n) for n=0..102.

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