A345385 Decimal expansion of Sum_{k>=2} zeta''(k).

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

Table of n, a(n) for n=1..105.

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

Cf. A085361, A131688, A345384.

Sequence in context: A054892 A104570 A103356 * A071915 A182578 A021432

Adjacent sequences: A345382 A345383 A345384 * A345386 A345387 A345388

Keyword

nonn,cons

Author

Vaclav Kotesovec, Jun 17 2021

Status

approved