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

Author

R. J. Mathar, Dec 07 2011

Keywords

• cons
• nonn

Examples

			Equals 1.9892802342989010234208586874215163814944...
		

Links

• 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

Crossrefs

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

Programs

Maple

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

Mathematica

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

PARI

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

Formula

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