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%I #8 Jan 30 2016 17:10:19
%S 2,6,1,0,7,2,0,8,6,8,4,4,4,1,4,4,6,5,0,0,0,1,5,3,7,7,1,5,7,1,8,7,2,4,
%T 2,0,7,9,5,1,0,7,4,0,1,0,8,7,3,4,8,0,2,4,4,1,9,0,6,5,0,8,7,5,6,0,3,7,
%U 5,7,4,7,3,3,1,3,8,3,8,6,3,7,5,6,5,3,6,1,5,4,9,6,2,5,2,7,0,7,1,1,9,5,9,8,3
%N Decimal expansion of the absolute value of the abscissa of the local maximum of the Gamma function in the interval [ -3,-2].
%C Also the location of the zero of the digamma function in the same interval.
%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Particular_values_of_the_Gamma_function">Particular values of the Gamma function</a>
%H E. Weisstein, <a href="http://mathworld.wolfram.com/GammaFunction.html">Gamma Function</a>, MathWorld.
%e Gamma(-2.6107208684441446500015377157..) = -0.8881363584012419200955280294..
%t x /. FindRoot[ PolyGamma[0, x] == 0, {x, -5/2}, WorkingPrecision -> 105] // Abs // RealDigits // First (* _Jean-François Alcover_, Jan 21 2013 *)
%o (PARI) solve(x=2.6,2.7,psi(-x)) \\ _Charles R Greathouse IV_, Jul 19 2013
%Y Cf. A030169, A030171, A175472, A175473.
%K cons,nonn
%O 1,1
%A _R. J. Mathar_, May 25 2010
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