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A020777 Decimal expansion of (-1)*Gamma'(1/4)/Gamma(1/4) where Gamma(x) denotes the Gamma function. 8
4, 2, 2, 7, 4, 5, 3, 5, 3, 3, 3, 7, 6, 2, 6, 5, 4, 0, 8, 0, 8, 9, 5, 3, 0, 1, 4, 6, 0, 9, 6, 6, 8, 3, 5, 7, 7, 3, 6, 7, 2, 4, 4, 4, 3, 8, 7, 0, 8, 2, 4, 2, 2, 7, 1, 6, 5, 5, 2, 7, 9, 5, 5, 9, 5, 1, 8, 9, 5, 6, 7, 9, 5, 8, 2, 9, 8, 5, 3, 3, 1, 7, 0, 6, 8, 5, 5, 4, 4, 5, 6, 9, 5, 2, 0, 6, 1, 3, 4, 6, 1, 3, 1, 7, 0 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,1

REFERENCES

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

LINKS

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

Wikipedia, Digamma function

FORMULA

Gamma'(1/4)/Gamma(1/4) = -EulerGamma - 3*log(2) - Pi/2 where EulerGamma is the Euler-Mascheroni constant (A001620).

EXAMPLE

4.2274535333762654080895301460966835773672444387082422716552795595189567958...

MAPLE

evalf(gamma+3*log(2)+Pi/2) ; # R. J. Mathar, Nov 13 2011

MATHEMATICA

EulerGamma + Pi/2 + Log[8] // RealDigits[#, 10, 105][[1]] & (* Jean-Fran├žois Alcover, Jun 18 2013 *)

PROG

(PARI) Euler+3*log(2)+Pi/2

CROSSREFS

Sequence in context: A261557 A270809 A087507 * A153810 A098134 A079191

Adjacent sequences:  A020774 A020775 A020776 * A020778 A020779 A020780

KEYWORD

cons,nonn

AUTHOR

Benoit Cloitre, May 24 2003

STATUS

approved

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Last modified December 10 23:40 EST 2016. Contains 279021 sequences.