login
A345385
Decimal expansion of Sum_{k>=2} zeta''(k).
1
2, 3, 3, 6, 3, 1, 3, 1, 7, 6, 0, 5, 8, 9, 3, 3, 2, 9, 1, 9, 9, 6, 5, 1, 5, 4, 8, 1, 3, 7, 7, 7, 1, 2, 2, 4, 4, 7, 5, 5, 7, 6, 9, 7, 9, 4, 3, 3, 0, 2, 7, 0, 7, 9, 6, 7, 7, 6, 7, 8, 2, 7, 0, 8, 7, 8, 2, 9, 2, 8, 9, 1, 6, 3, 6, 9, 0, 1, 4, 0, 0, 2, 7, 2, 1, 3, 5, 9, 7, 4, 0, 7, 0, 6, 0, 8, 3, 1, 4, 7, 9, 3, 6, 2, 2
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