A200136 Decimal expansion of the negated value of the digamma function at 2/5.

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

Offset

1,1

Links

Table of n, a(n) for n=1..84.

Index entries for sequences related to the digamma function

Formula

Psi(2/5) = -gamma -Pi*sqrt(1-2/sqrt 5)/2 -5*log(5)/4 +sqrt(5)*log((3+sqrt 5)/2)/4.

Example

Psi(2/5) = -2.5613845445851161457306754820475...

Maple

-gamma-Pi*sqrt(1-2/sqrt(5))/2-5*log(5)/4+sqrt(5)*log((3+sqrt(5))/2)/4 ; evalf(%) ;

Mathematica

RealDigits[ PolyGamma[2/5], 10, 84] // First (* Jean-François Alcover, Feb 21 2013 *)

Prog

(PARI) -psi(2/5) \\ Charles R Greathouse IV, Jul 19 2013

Crossrefs

Cf. A020759, A020777, A047787, A200064, A200135-A200138.

Sequence in context: A138279 A131800 A086038 * A134387 A222132 A318388

Adjacent sequences: A200133 A200134 A200135 * A200137 A200138 A200139

Keyword

cons,nonn

Author

R. J. Mathar, Nov 13 2011

Status

approved