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A200135 Decimal expansion of the negated value of the digamma function at 1/5. 1
5, 2, 8, 9, 0, 3, 9, 8, 9, 6, 5, 9, 2, 1, 8, 8, 2, 9, 5, 5, 4, 7, 2, 0, 7, 9, 6, 2, 4, 4, 9, 9, 5, 2, 1, 0, 4, 8, 2, 5, 5, 8, 8, 2, 7, 4, 2, 0, 6, 6, 4, 2, 8, 1, 0, 1, 7, 5, 8, 5, 8, 6, 6, 4, 1, 9, 1, 6, 2, 4, 7, 5, 4, 0, 9, 1, 6, 1, 9, 6, 5, 2, 5, 4, 6, 5, 7, 7, 8, 2, 4, 3, 1, 9, 5, 7, 0, 3, 6, 2, 4, 1, 2, 4, 0 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

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

Wikipedia, Digamma function

FORMULA

Psi(1/5) = -gamma -Pi*sqrt(1+2/sqrt 5)/2 -5*log(5)/4 -sqrt(5)*log((3+sqrt 5)/2)/4. where gamma = A001620, sqrt(1+2/sqrt 5) = A019952, (3+sqrt 5)/2 = A104457.

EXAMPLE

Psi(1/5) =  -5.289039896592188295547207962...

MAPLE

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

MATHEMATICA

RealDigits[-PolyGamma[1/5], 10, 105] // First (* Jean-François Alcover, Feb 11 2013 *)

PROG

(PARI) -psi(1/5) \\ Charles R Greathouse IV, Jul 19 2013

CROSSREFS

Cf. A020759, A047787, A020777, A200064, A200134-A200138.

Sequence in context: A168202 A153455 A193019 * A001062 A187876 A179951

Adjacent sequences:  A200132 A200133 A200134 * A200136 A200137 A200138

KEYWORD

cons,nonn

AUTHOR

R. J. Mathar, Nov 13 2011

EXTENSIONS

More terms from Jean-François Alcover, Feb 11 2013

STATUS

approved

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Last modified December 11 08:51 EST 2016. Contains 279052 sequences.