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A271522 Decimal expansion of the negated imaginary part of the derivative of the Riemann function zeta(z) at z=i, the imaginary unit. 2
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 (list; constant; graph; refs; listen; history; text; internal format)
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: A166126 A265011 A200419 * A069206 A145091 A091685

Adjacent sequences:  A271519 A271520 A271521 * A271523 A271524 A271525

KEYWORD

nonn,cons

AUTHOR

Stanislav Sykora, Apr 09 2016

STATUS

approved

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Last modified August 17 23:58 EDT 2017. Contains 290682 sequences.