A252244 Decimal expansion of zeta''(1/2) (negated).

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

Offset

2,2

Links

Table of n, a(n) for n=2..106.

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

Eric Weisstein's MathWorld, Riemann Zeta Function

Index entries for constants related to zeta

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

-16.0083570139286614226913065059449627851855936196363545353...

Maple

Zeta(2, 1/2) ; evalf(%) ;

Mathematica

RealDigits[Zeta''[1/2], 10, 105] // First

Crossrefs

Cf. A002117, A059750, A114875, A252245.

Sequence in context: A113555 A066604 A081550 * A019929 A368206 A021866

Adjacent sequences: A252241 A252242 A252243 * A252245 A252246 A252247

Keyword

nonn,cons,easy

Author

Jean-François Alcover, Dec 16 2014

Status

approved