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 A084448 Decimal expansion of (negative of) Kinkelin constant. 43
 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 G. Almkvist, Asymptotic formulas and generalized Dedekind sums, Exper. Math., 7 (No. 4, 1998), pp. 343-359. FORMULA Zeta(1, -1). Almkvist gives many formulas. 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-François 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 A263879 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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