A261508 Decimal expansion of -zeta'''(0).

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

Offset

1,1

Links

Table of n, a(n) for n=1..105.

Tom M. Apostol, Formulas for higher derivatives of the Riemann zeta function, Mathematics of Computation 44 (1985), pp. 223-232.

Eric Weisstein's World of Mathematics, Riemann Zeta Function

Eric Weisstein's World of Mathematics, Stieltjes Constants

Example

6.004711166862254447761060813366375285461807668295980132893...

Maple

evalf(-Zeta(3, 0), 120);

Mathematica

RealDigits[3*Log[2*Pi]*StieltjesGamma[1] + 3*EulerGamma*StieltjesGamma[1] + 3/2*StieltjesGamma[2] - Zeta[3] - 1/2*Log[2*Pi]^3 - 1/8*Pi^2*Log[2*Pi] + 3/2*EulerGamma^2*Log[2*Pi] + EulerGamma^3, 10, 120][[1]]

Prog

(PARI) -zeta'''(0) \\ Charles R Greathouse IV, Mar 10 2016

Crossrefs

Cf. A075700, A257549, A201995, A082633, A086279.

Sequence in context: A019956 A212720 A114760 * A344182 A217219 A113555

Adjacent sequences: A261505 A261506 A261507 * A261509 A261510 A261511

Keyword

nonn,cons

Author

Vaclav Kotesovec, Aug 22 2015

Status

approved