A200137 Decimal expansion of the negated digamma function at 3/5.

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

Offset

1,2

Links

Table of n, a(n) for n=1..105.

Index entries for sequences related to the digamma function

Formula

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

Example

Psi(3/5) = -1.540619213893190414760663948806231941510...

Maple

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

Mathematica

RealDigits[-PolyGamma[3/5], 10, 105] // First (* Jean-François Alcover, Feb 11 2013 *)

Prog

(PARI) -psi(3/5) \\ Charles R Greathouse IV, Jul 19 2013

Crossrefs

Cf. A020759, A047787, A020777, A200134-A200138

Sequence in context: A021189 A320411 A197012 * A197384 A193035 A227966

Adjacent sequences: A200134 A200135 A200136 * A200138 A200139 A200140

Keyword

nonn,cons

Author

R. J. Mathar, Nov 13 2011

Extensions

More terms from Jean-François Alcover, Feb 11 2013

Status

approved