A271522 Decimal expansion of the negated imaginary part of the derivative of the Riemann function zeta(z) at z=i, the imaginary unit.

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

Offset

0,1

Comments

The corresponding real part of zeta'(i) is in A271521.

Links

Stanislav Sykora, Table of n, a(n) for n = 0..2000

Eric Weisstein's World of Mathematics, Riemann Zeta Function

Example

-0.5068470171675690819236777203475196752620035070740107512342152336170...

Mathematica

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

Prog

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

Crossrefs

Cf. A084448 (-zeta'(-1)), A179311 (real(zeta(i))), A179836 (imag(-zeta(i))), A271521 (real(zeta'(i))).

Sequence in context: A320375 A361918 A200419 * A343015 A069206 A291800

Adjacent sequences: A271519 A271520 A271521 * A271523 A271524 A271525

Keyword

nonn,cons

Author

Stanislav Sykora, Apr 09 2016

Status

approved