A240966 Decimal expansion of zeta'(-2) (the derivative of Riemann's zeta function at -2).

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

Offset

0,2

Links

Table of n, a(n) for n=0..103.

Eric Weisstein's MathWorld, Riemann Zeta Function.

Formula

zeta'(-2) = -zeta(3)/(4*Pi^2).

Equals -log(A243262). - Vaclav Kotesovec, Feb 22 2015

Example

-0.030448457058393270780251530471154776647000483544973936252971889859...

Mathematica

Join[{0}, RealDigits[-Zeta[3]/(4*Pi^2), 10, 103] // First]

Crossrefs

Cf. A084448 (zeta'(-1)), A075700 (zeta'(0)), A073002 (zeta'(2)), A244115 (zeta'(3)).

Sequence in context: A351002 A201563 A016644 * A308109 A354783 A209132

Adjacent sequences: A240963 A240964 A240965 * A240967 A240968 A240969

Keyword

nonn,cons,easy

Author

Jean-François Alcover, Aug 05 2014

Status

approved