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%I #17 Jul 16 2021 11:26:42
%S 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,
%T 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,
%U 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
%N Decimal expansion of zeta'(-16) (the derivative of Riemann's zeta function at -16).
%H G. C. Greubel, <a href="/A266271/b266271.txt">Table of n, a(n) for n = 1..1500</a>
%F zeta'(-16) = (638512875*zeta(17))/(4*Pi^16) = - log(A(16)).
%F Equals (3617/2040)*(zeta(17)/zeta(16)).
%e 1.7730256608990963962477873441892944813554198276469991771639173077.....
%t RealDigits[N[Zeta'[-16], 100]]
%Y 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)).
%K nonn,cons
%O 1,2
%A _G. C. Greubel_, Dec 25 2015
%E Offset corrected by _Rick L. Shepherd_, May 21 2016
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