A271854 - OEIS

%I #13 Jul 16 2021 11:30:12

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

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

%U 8,1,0,6,1,2,6,6,5,6,5,1,0,3,0,9,5,7,3,3,0,8,5,0,8,3,0,9,1,6,0,2,8,5,0,8,1

%N Decimal expansion of -zeta'(-1/2), negated derivative of the Riemann zeta function at -1/2.

%H Stanislav Sykora, <a href="/A271854/b271854.txt">Table of n, a(n) for n = 0..1000</a>

%e zeta'(-1/2) = -0.36085433959994760734742080636395106588485278791863221...

%t RealDigits[N[-Zeta'[-1/2], 106]] [[1]] (* _Robert Price_, Apr 28 2016 *)

%o (PARI) -zeta'(-1/2)

%Y Values of |zeta'(x)| for various x: A073002 (+2), A075700 (0), A084448 (-1), A114875 (+1/2), A240966 (-2), A244115(+3), A259068 (-3), A259069 (-4), A259070 (-5), A259071 (-6), A259072 (-7), A259073 (-8), A261506 (+4), A266260 (-9), A266261 (-10), A266262 (zeta'(-11)), A266263 (zeta'(-12)), A260660 (zeta'(-13)), A266264 (zeta'(-14)), A266270 (zeta'(-15)), A266271 (zeta'(-16)), A266272 (zeta'(-17)), A266273 (zeta'(-18)), A266274 (zeta'(-19)), A266275 (zeta'(-20)),  A271521 (i).

%K nonn,cons,easy

%O 0,1

%A _Stanislav Sykora_, Apr 23 2016