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A030171
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Decimal expansion of real number y such that y = Gamma(x) is a minimum.
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13
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8, 8, 5, 6, 0, 3, 1, 9, 4, 4, 1, 0, 8, 8, 8, 7, 0, 0, 2, 7, 8, 8, 1, 5, 9, 0, 0, 5, 8, 2, 5, 8, 8, 7, 3, 3, 2, 0, 7, 9, 5, 1, 5, 3, 3, 6, 6, 9, 9, 0, 3, 4, 4, 8, 8, 7, 1, 2, 0, 0, 1, 6, 5, 8, 7, 5, 1, 3, 6, 2, 2, 7, 4, 1, 7, 3, 9, 6, 3, 4, 6, 6, 6, 4, 7, 9, 8, 2, 8, 0, 2, 1, 4, 2, 0, 3, 5, 9
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OFFSET
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0,1
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LINKS
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G. C. Greubel, Table of n, a(n) for n = 0..5000
Simon Plouffe, Minimal point of GAMMA(x)
Simon Plouffe, Minimal y of GAMMA(x)
Eric Weisstein's World of Mathematics, Gamma Function
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EXAMPLE
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0.885603194410888700278815900582588733207951533669903448871200165875136...
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MAPLE
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Digits:=500; x0:=fsolve(Psi(x)=0, x); evalf(GAMMA(x0), 120) # Iaroslav V. Blagouchine, Feb 16 2016
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MATHEMATICA
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First@ RealDigits[ FindMinimum[ Gamma[x], {x, 1.4}, WorkingPrecision -> 2^7][[1]]] (* Robert G. Wilson v, Aug 03 2010 *)
RealDigits[ Gamma[x /. FindRoot[ PolyGamma[0, x] == 0, {x, 1}, WorkingPrecision -> 100]]][[1]] (* Jean-François Alcover, Oct 23 2012 *)
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PROG
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(PARI) gamma(solve(x=1, 2, psi(x))) \\ Charles R Greathouse IV, Apr 17 2015
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CROSSREFS
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Cf. A030169 for value of x.
Sequence in context: A305208 A081799 A154186 * A153619 A202497 A195708
Adjacent sequences: A030168 A030169 A030170 * A030172 A030173 A030174
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KEYWORD
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nonn,cons
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AUTHOR
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Eric W. Weisstein
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STATUS
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approved
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