login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A020759 Decimal expansion of (-1)*Gamma'(1/2)/Gamma(1/2) where Gamma(x) denotes the Gamma function. 12
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).

Equals 2-psi(-1/2). - Stanislav Sykora, Oct 03 2014

EXAMPLE

1.96351002602142347944097633299875556719315960466...

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)

(PARI) 2-psi(-1/2) \\ - Stanislav Sykora, Oct 03 2014

CROSSREFS

Cf. A001620, A002162, A248176.

Sequence in context: A200232 A198997 A019683 * A226582 A243313 A241993

Adjacent sequences:  A020756 A020757 A020758 * A020760 A020761 A020762

KEYWORD

cons,nonn

AUTHOR

Benoit Cloitre, May 24 2003

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement .

Last modified October 24 03:56 EDT 2014. Contains 248491 sequences.