A252245 Decimal expansion of zeta'''(1/2) (negated).

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

Offset

2,1

Links

Table of n, a(n) for n=2..105.

MathOverflow, Zeta(3) in terms of derivatives of zeta at 1/2 and pi

Eric Weisstein's MathWorld, Riemann Zeta Function

Formula

zeta(3) = (1/7)*(-Pi^3/4 + (2*zeta'(1/2)^3 - 3*zeta(1/2)*zeta'(1/2)*zeta''(1/2) + zeta(1/2)^2*zeta'''(1/2))/zeta(1/2)^3).

Example

-96.003309245319070097389767220695459302514018846555728...

Mathematica

RealDigits[Zeta'''[1/2], 10, 104] // First

Crossrefs

Cf. A002117, A059750, A114875, A252244.

Sequence in context: A206771 A317869 A103362 * A263177 A154161 A380737

Adjacent sequences: A252242 A252243 A252244 * A252246 A252247 A252248

Keyword

nonn,cons,easy,changed

Author

Jean-François Alcover, Dec 16 2014

Status

approved