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 A266261 Decimal expansion of zeta'(-10) (the derivative of Riemann's zeta function at -10). 14

%I

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

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

%U 2,7,0,5,1,5,5,0,4,1,4,8,0,5,5,2,3,5,1,6,0,7,3

%N Decimal expansion of zeta'(-10) (the derivative of Riemann's zeta function at -10).

%H G. C. Greubel, <a href="/A266261/b266261.txt">Table of n, a(n) for n = 0..1500</a>

%F zeta'(-10) = -14175*zeta(11)/(8*Pi^10) = log(A(10)).

%F Equals -(5/264)*(zeta(11)/zeta(10)).

%e -0.0189299263381403742289805022903467952319852580951695558

%t Join[{0}, RealDigits[-(5/264)*(Zeta[11]/Zeta[10]), 10, 100] // First]

%Y Cf. A075700 (zeta'(0)), A084448 (zeta'(-1)), A240966 (zeta'(-2)), A259068 (zeta'(-3)), A259070 (zeta'(-5)), A259071 (zeta'(-6)), A259072 (zeta'(-7)), A259073 (zeta'(-8)), A266260 (zeta'(-9)), A266262 (zeta'(-11)), A266263 (zeta'(-12)), A260660 (zeta'(-13)), A266264 (zeta'(-14)), A266670 (zeta'(-15)), A266271 (zeta'(-16)), A266272 (zeta'(-17)), A266273 (zeta'(-18)), A266274 (zeta'(-19)), A266275 (zeta'(-20)).

%K nonn,cons

%O 0,3

%A _G. C. Greubel_, Dec 25 2015

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Last modified February 20 12:12 EST 2020. Contains 332076 sequences. (Running on oeis4.)