A266264 Decimal expansion of zeta'(-14) (the derivative of Riemann's zeta function at -14).

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

Offset

0,1

Links

G. C. Greubel, Table of n, a(n) for n = 0..1500

Formula

zeta'(-14) = - (42567525*zeta(15))/(16*Pi^14) = - log(A(14)).

Equals -(7/24)*(zeta(15)/zeta(14)).

Example

-0.29165772474387352032122400307025066697026303853309083214990....

Mathematica

RealDigits[N[Zeta'[-14], 100]]

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)), A266270 (zeta'(-15)), A266271 (zeta'(-16)), A266272 (zeta'(-17)), A266273 (zeta'(-18)), A266274 (zeta'(-19)), A266275 (zeta'(-20)).

Sequence in context: A021347 A011278 A143233 * A011216 A096250 A016595

Adjacent sequences: A266261 A266262 A266263 * A266265 A266266 A266267

Keyword

nonn,cons

Author

G. C. Greubel, Dec 25 2015

Status

approved