A266271 Decimal expansion of zeta'(-16) (the derivative of Riemann's zeta function at -16).

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

Offset: 1

Author

G. C. Greubel, Dec 25 2015

Keywords

• nonn
• cons

Examples

			1.7730256608990963962477873441892944813554198276469991771639173077.....
		

Links

• G. C. Greubel, Table of n, a(n) for n = 1..1500

Crossrefs

Cf. A075700 (zeta'(0)), A084448 (zeta'(-1)), A240966 (zeta'(-2)), A259068 (zeta'(-3)), A259069 (zeta'(-4)), A259070 (zeta'(-5)), A259071 (zeta'(-6)), A259072 (zeta'(-7)), A259073 (zeta'(-8)), A266260 (zeta'(-9)), A266261 (zeta'(-10)), A266262 (zeta'(-11)), A266263 (zeta'(-12)), A260660 (zeta'(-13)), A266264 (zeta'(-14)), A266270 (zeta'(-15)), A266272 (zeta'(-17)), A266273 (zeta'(-18)), A266274 (zeta'(-19)), A266275 (zeta'(-20)).

Programs

Mathematica

RealDigits[N[Zeta'[-16], 100]]

Formula

zeta'(-16) = (638512875*zeta(17))/(4*Pi^16) = - log(A(16)).

Equals (3617/2040)*(zeta(17)/zeta(16)).

Extensions

Offset corrected by Rick L. Shepherd, May 21 2016