OFFSET
1,1
LINKS
Steven R. Finch, Mathematical Constants II, Encyclopedia of Mathematics and Its Applications, Cambridge University Press, Cambridge, 2018, p. 538.
Michael I. Shamos, A catalog of the real numbers 2011, p. 355.
FORMULA
Equals Sum_{k>=1} log(k+1)^2 / (k*(k+1)).
EXAMPLE
2.3363131760589332919965154813777122447557697943302707967767827087829289...
MAPLE
evalf(Sum(Zeta(2, k), k = 2..infinity), 120);
MATHEMATICA
RealDigits[Sum[Zeta''[k], {k, 2, 1000}], 10, 110][[1]]
PROG
(PARI) suminf(k=2, zeta''(k))
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Vaclav Kotesovec, Jun 17 2021
STATUS
approved