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 A020759 Decimal expansion of (-1)*Gamma'(1/2)/Gamma(1/2) where Gamma(x) denotes the Gamma function. 13
 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 (MAGMA) R:=RealField(100); EulerGamma(R) + 2*Log(2); // G. C. Greubel, Aug 27 2018 CROSSREFS Cf. A001620, A002162, A248176. Sequence in context: A198997 A271172 A019683 * A226582 A276538 A243313 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 November 19 05:29 EST 2018. Contains 317333 sequences. (Running on oeis4.)