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%I #10 Aug 27 2015 11:04:42
%S 8,6,9,5,7,6,4,1,6,3,8,1,6,4,0,1,2,6,6,4,8,8,7,7,6,1,6,0,8,0,4,6,4,5,
%T 8,2,0,2,7,2,4,3,8,0,8,4,9,6,6,7,2,8,7,8,3,2,6,6,5,7,8,8,6,7,4,7,7,7,
%U 3,8,7,1,4,2,7,7,1,8,5,9,6,1,5,8,5,7,0,0,9,5,9,3,1,8,6,5,8,6,8,8,9,6,3,5
%N Decimal expansion of the [negated] abscissa of the Gamma function local maximum in the interval [-9,-8].
%H Eric Weisstein's MathWorld, <a href="http://mathworld.wolfram.com/GammaFunction.html">Gamma Function</a>
%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Particular_values_of_the_Gamma_function">Particular values of the Gamma Function</a>
%F Solution to PolyGamma(x) = 0 in the interval [-9,-8].
%e Gamma(-8.695764163816401266488776160804645820272438084966728783...)
%e = -0.00002092529044652666875369728468060738117860083247673665...
%t digits = 104; x0 = x /. FindRoot[PolyGamma[0, x] == 0, {x, -17/2}, WorkingPrecision -> digits + 5]; RealDigits[x0, 10, digits] // First
%Y Cf. A030169, A030171, A175472, A175473, A256681-A256685, A256687.
%K nonn,cons
%O 1,1
%A _Jean-François Alcover_, Apr 08 2015
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