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A020759 Decimal expansion of (-1)*Gamma'(1/2)/Gamma(1/2) where Gamma(x) denotes the Gamma function. 10
1, 9, 6, 3, 5, 1, 0, 0, 2, 6, 0, 2, 1, 4, 2, 3, 4, 7, 9, 4, 4, 0, 9, 7, 6, 3, 3, 2, 9, 9, 8, 7, 5, 5, 5, 6, 7, 1, 9, 3, 1, 5, 9, 6, 0, 4, 6, 6, 0, 4, 3, 4, 1, 0, 7, 0, 4, 7, 1, 2, 7, 2, 5, 3, 8, 7, 1, 6, 5, 4, 9, 7, 0, 7, 1, 7, 0, 5, 4, 1, 0, 2, 1, 4, 8, 6, 7, 3, 7, 1, 7, 2, 8, 4, 5, 8, 4, 1, 2, 4, 5, 9, 8, 6, 3 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Decimal expansion of -psi(1/2). - Benoit Cloitre, Mar 07 2004

REFERENCES

M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, 1964 (and various reprintings), 6.3.3, p. 258. - Robert G. Wilson v, Jun 20 2011

S.J. Patterson, "An introduction to the theory of the Riemann zeta function", Cambridge studies in advanced mathematics no. 14, p. 135

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Wikipedia, Digamma function

FORMULA

Gamma'(1/2)/Gamma(1/2)=-EulerGamma-2*log(2)=-1.9635100260214234794... where EulerGamma is the Euler-Mascheroni constant (A001620)

MAPLE

evalf(-Psi(0.5)) ; # R. J. Mathar, Sep 10 2013

MATHEMATICA

RealDigits[ EulerGamma + 2 Log[2], 10, 111][[1]] (* Robert G. Wilson v, Jun 20 2011 *)

PROG

(PARI) Euler+2*log(2)

CROSSREFS

Sequence in context: A200232 A198997 A019683 * A226582 A099817 A200280

Adjacent sequences:  A020756 A020757 A020758 * A020760 A020761 A020762

KEYWORD

cons,nonn

AUTHOR

Benoit Cloitre, May 24 2003

STATUS

approved

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Last modified April 24 05:09 EDT 2014. Contains 240953 sequences.