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A257958 Decimal expansion of the Digamma function at 1/Pi, negated. 10
3, 2, 9, 0, 2, 1, 3, 9, 6, 0, 1, 7, 3, 2, 2, 4, 0, 9, 0, 8, 4, 3, 0, 9, 0, 8, 4, 5, 5, 4, 0, 0, 1, 9, 0, 3, 7, 4, 0, 2, 1, 9, 3, 2, 8, 2, 0, 0, 7, 0, 1, 6, 1, 2, 9, 3, 8, 8, 9, 5, 3, 1, 8, 3, 7, 5, 5, 3, 7, 5, 6, 6, 5, 3, 3, 7, 1, 7, 9, 1, 2, 9, 1, 5, 3, 2, 8, 7, 7, 1, 1, 1, 6, 9, 3, 5, 6, 7, 3, 1, 6, 6, 9 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

The reference gives an interesting series representation with rational coefficients for Psi(1/Pi) = -log(Pi) - Pi/2 - 1/2 - 1/8  - 1/72 + 1/64 +7/400 + 7/576 + 643/94080 + 103/30720 + ...

LINKS

Table of n, a(n) for n=1..103.

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

-3.2902139601732240908430908455400190374021932820070161...

MAPLE

evalf(Psi(1/Pi), 120);

MATHEMATICA

RealDigits[PolyGamma[1/Pi], 10, 120][[1]]

PROG

(PARI) default(realprecision, 120); psi(1/Pi)

CROSSREFS

Cf. A257955, A257957, A257959, A155968, A256165, A256166, A256167, A255888, A256609, A255306, A256610, A256612, A256611, A256066, A256614, A256615, A256616.

Sequence in context: A047946 A066045 A110866 * A211878 A060481 A228492

Adjacent sequences:  A257955 A257956 A257957 * A257959 A257960 A257961

KEYWORD

nonn,cons

AUTHOR

Iaroslav V. Blagouchine, May 14 2015

STATUS

approved

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Last modified October 17 10:40 EDT 2018. Contains 316277 sequences. (Running on oeis4.)