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A268980
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Decimal expansion of the second negative root of the equation Gamma(x) + Psi(x) = 0, negated.
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3
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2, 5, 1, 8, 3, 5, 4, 2, 6, 9, 9, 3, 3, 4, 5, 3, 2, 8, 5, 3, 3, 3, 5, 9, 7, 5, 8, 5, 0, 4, 0, 0, 8, 4, 5, 7, 0, 7, 2, 4, 2, 7, 0, 5, 1, 3, 1, 3, 6, 2, 1, 3, 7, 6, 0, 0, 5, 7, 2, 0, 6, 1, 4, 0, 3, 4, 3, 0, 9, 4, 0, 5, 8, 9, 6, 8, 4, 6, 7, 9, 2, 8, 3, 4, 7, 2, 7, 8, 0, 8, 9, 9, 0, 6, 8, 5, 3, 7, 0, 0, 3, 0, 4, 6
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OFFSET
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1,1
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COMMENTS
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Gamma(x) stands for the gamma function (Euler's integral of the second kind), Psi(x) denotes the digamma function (logarithmic derivative of the gamma function).
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LINKS
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EXAMPLE
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-2.5183542699334532853335975850400845707242705131362137...
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MAPLE
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Digits:= 150: fsolve(GAMMA(x)+Psi(x)=0, x=-2.5);
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MATHEMATICA
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FindRoot[Gamma[x]+PolyGamma[x]==0, {x, -2.5}, WorkingPrecision->120][[1, 2]] // RealDigits[#, 10, 104]& // First
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PROG
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(PARI) default(realprecision, 120); solve(x = -2.6, -2.4, gamma(x)+psi(x))
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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