A201994 Decimal expansion of zeta''(2), the second derivative of the Riemann zeta function at 2.

1, 9, 8, 9, 2, 8, 0, 2, 3, 4, 2, 9, 8, 9, 0, 1, 0, 2, 3, 4, 2, 0, 8, 5, 8, 6, 8, 7, 4, 2, 1, 5, 1, 6, 3, 8, 1, 4, 9, 4, 4, 6, 0, 7, 7, 0, 7, 4, 2, 5, 0, 2, 7, 0, 9, 0, 7, 8, 1, 5, 3, 9, 9, 2, 9, 2, 3, 0, 2, 5, 9, 4, 9, 3, 6, 3, 2, 3, 5, 4, 0, 2, 1, 1, 2, 6, 6, 8, 8, 8, 3, 4, 9, 0, 3, 5, 8

Offset

1,2

Links

Table of n, a(n) for n=1..97.

B. K. Choudhury, The Riemann zeta-function and its derivatives, Proc. R. Soc. Lond A 445 (1995) 477-499, Table 2 and (19).

Index entries for constants related to zeta

Formula

zeta''(2) = Sum_{k>=1} (log(k)/k)^2.

Example

Equals 1.9892802342989010234208586874215163814944...

Maple

evalf(Zeta(2, 2), 100) ;

Mathematica

RealDigits[ Zeta''[2], 10, 97] // First (* Jean-François Alcover, Feb 20 2013 *)

Prog

(PARI) zeta''(2) \\ Michel Marcus, Jan 07 2021

Crossrefs

Cf. A073002, A201995, A340442 (at 3), A340443 (at 4).

Sequence in context: A343060 A245330 A269222 * A243277 A200003 A159590

Adjacent sequences: A201991 A201992 A201993 * A201995 A201996 A201997

Keyword

cons,nonn

Author

R. J. Mathar, Dec 07 2011

Status

approved