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 A256684 Decimal expansion of the [negated] abscissa of the Gamma function local maximum in the interval [-7,-6]. 7

%I

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

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

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

%N Decimal expansion of the [negated] abscissa of the Gamma function local maximum in the interval [-7,-6].

%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 [-7,-6]

%e Gamma(-6.6784182130734267428298558886022000992046860101507601433975...)

%e = -0.0013973966089497673013074886687985785170487809897563228...

%t digits = 104; x0 = x /. FindRoot[PolyGamma[0, x] == 0, {x, -13/2}, WorkingPrecision -> digits + 5]; RealDigits[x0, 10, digits] // First

%Y Cf. A030169, A030171, A175472, A175473, A256681-A256683, A256685-A256687.

%K nonn,cons

%O 1,1

%A _Jean-François Alcover_, Apr 08 2015

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Last modified August 3 11:47 EDT 2021. Contains 346435 sequences. (Running on oeis4.)