A200134 Decimal expansion of the negated value of the digamma function at 3/4.

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

Offset

1,3

Links

G. C. Greubel, Table of n, a(n) for n = 1..10000

E. D. Krupnikov, K. S. Kölbig, Some special cases of the generalized hypergeometric function (q+1)Fq, J. Comp. Appl. Math. 78 (1997) 79-95.

Wikipedia, Digamma function

Index entries for sequences related to the digamma function

Formula

Psi(3/4) = -gamma + Pi/2 - 3*log(2) = A000796 - A020777 = 3.14159... - 4.22745...

Pi = gamma(0,1/4) - gamma(0,3/4) = A020777 - A200134, where gamma(n,x) denotes the generalized Stieltjes constants. - Peter Luschny, May 16 2018

Example

Psi(3/4) = -1.085860879786472169626886762817...

Maple

evalf(-gamma+Pi/2-3*log(2)) ;

Mathematica

RealDigits[ -PolyGamma[3/4], 10, 97] // First (* Jean-François Alcover, Feb 20 2013 *)
N[StieltjesGamma[0, 3/4], 99] (* Peter Luschny, May 16 2018 *)

Prog

(PARI) -psi(3/4) \\ Charles R Greathouse IV, Nov 22 2011
(Magma) SetDefaultRealField(RealField(100)); R:= RealField(); -EulerGamma(R) + Pi(R)/2 - 3*Log(2); // G. C. Greubel, Aug 29 2018

Crossrefs

Cf. A001620, A020759, A020777, A047787, A301816.

Sequence in context: A153799 A086235 A157742 * A021542 A336058 A198136

Adjacent sequences: A200131 A200132 A200133 * A200135 A200136 A200137

Keyword

cons,nonn

Author

R. J. Mathar, Nov 13 2011

Status

approved