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A084448 Decimal expansion of (negative of) Kinkelin constant. 21
1, 6, 5, 4, 2, 1, 1, 4, 3, 7, 0, 0, 4, 5, 0, 9, 2, 9, 2, 1, 3, 9, 1, 9, 6, 6, 0, 2, 4, 2, 7, 8, 0, 6, 4, 2, 7, 6, 4, 0, 3, 6, 3, 8, 0, 3, 3, 5, 2, 0, 1, 7, 8, 3, 6, 6, 6, 5, 2, 2, 3, 0, 6, 3, 5, 7, 3, 5, 9, 6, 9, 9, 6, 6, 6, 5, 7, 7, 1, 7, 2, 7, 5, 9, 5, 2, 5, 1, 0, 0, 3, 3, 2, 5, 0, 8, 7, 5, 5 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..98.

G. Almkvist, Asymptotic formulas and generalized Dedekind sums, Exper. Math., 7 (No. 4, 1998), pp. 343-359.

FORMULA

Zeta(1, -1). Almkvist gives many formulae.

Equals (1 - gamma - log(2*Pi))/12 + Zeta'(2)/(2*Pi^2), where gamma is the Euler-Mascheroni constant A001620. - Vaclav Kotesovec, Jul 25 2015

EXAMPLE

-0.1654211437004509292139196602427806427640363803352017836665223...

MAPLE

Digits := 200; evalf(Zeta(1, -1));

MATHEMATICA

RealDigits[1/12 - Log[Glaisher], 10, 99] // First (* Jean-Fran├žois Alcover, Feb 15 2013 *)

PROG

(PARI) -zeta'(-1) \\ Charles R Greathouse IV, Dec 12 2013

CROSSREFS

Cf. A084539.

Sequence in context: A109063 A110390 A193178 * A256596 A173431 A085664

Adjacent sequences:  A084445 A084446 A084447 * A084449 A084450 A084451

KEYWORD

nonn,cons,easy

AUTHOR

N. J. A. Sloane, Jun 27 2003

STATUS

approved

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Last modified September 2 11:00 EDT 2015. Contains 261279 sequences.