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A175474
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Decimal expansion of the absolute value of the abscissa of the local maximum of the Gamma function in the interval [ -3,-2].
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2
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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, 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, 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
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OFFSET
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1,1
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COMMENTS
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Also the location of the zero of the digamma function in the same interval.
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LINKS
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Table of n, a(n) for n=1..105.
Anonymous, Particular values of the Gamma Function, Wikipedia.
E. Weisstein, Gamma Function, MathWorld.
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EXAMPLE
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Gamma(-2.6107208684441446500015377157..) = -0.8881363584012419200955280294..
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MATHEMATICA
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x /. FindRoot[ PolyGamma[0, x] == 0, {x, -5/2}, WorkingPrecision -> 105] // Abs // RealDigits // First (* Jean-François Alcover, Jan 21 2013 *)
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CROSSREFS
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Cf. A030169, A030171, A175472, A175473.
Sequence in context: A056876 A021797 A068959 * A021387 A127508 A090185
Adjacent sequences: A175471 A175472 A175473 * A175475 A175476 A175477
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KEYWORD
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cons,nonn
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AUTHOR
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R. J. Mathar, May 25 2010
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STATUS
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approved
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