A271521 Decimal expansion of the real part of the derivative of the Riemann function zeta(z) at z=i, the imaginary unit.

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

Offset

-1,1

Comments

The corresponding imaginary part of zeta'(i) is in A271522.

Links

Stanislav Sykora, Table of n, a(n) for n = -1..2000

Eric Weisstein's World of Mathematics, Riemann Zeta Function

Example

0.083406157339240564143845716295688307538061294739201166994032641190...

Mathematica

RealDigits[Re[Zeta'[I]], 10, 120][[1]] (* Vaclav Kotesovec, Apr 10 2016 *)

Prog

(PARI) real(zeta'(I)) \\ With realprecision=2100, it takes a few minutes

Crossrefs

Cf. A084448 (-zeta'(-1)), A179311 (real(zeta(i))), A179836 (imag(-zeta(i))), A271522 (-imag(zeta'(i))).

Sequence in context: A069995 A199863 A181180 * A117889 A021927 A145594

Adjacent sequences: A271518 A271519 A271520 * A271522 A271523 A271524

Keyword

nonn,cons

Author

Stanislav Sykora, Apr 09 2016

Status

approved