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A175472 Decimal expansion of the absolute value of the abscissa of the local maximum of the Gamma function in the interval [ -1,0] 2
5, 0, 4, 0, 8, 3, 0, 0, 8, 2, 6, 4, 4, 5, 5, 4, 0, 9, 2, 5, 8, 2, 6, 9, 3, 0, 4, 5, 3, 3, 3, 0, 2, 4, 9, 8, 9, 5, 5, 3, 8, 5, 1, 8, 2, 3, 6, 8, 5, 7, 9, 8, 4, 5, 1, 7, 7, 2, 6, 9, 5, 8, 4, 5, 0, 9, 5, 9, 3, 8, 3, 3, 7, 1, 3, 4, 7, 8, 8, 6, 4, 6, 2, 5, 6, 4, 4, 7, 9, 3, 8, 1, 5, 1, 3, 6, 5, 2, 5, 4, 6, 8, 0, 1, 9 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

Also the location of the zero of the digamma function in the same interval.

LINKS

Table of n, a(n) for n=0..104.

Anonymous, Particular values of the Gamma Function, Wikipedia.

E. Weisstein, Gamma Function, MathWorld.

EXAMPLE

Gamma(-0.5040830082644554092582693045...) = -3.5446436111550050891219639933..

MATHEMATICA

x /. FindRoot[ PolyGamma[0, x] == 0, {x, -1/2}, WorkingPrecision -> 105] // Abs // RealDigits // First  (* Jean-Fran├žois Alcover, Jan 21 2013 *)

PROG

(PARI) solve(x=.5, .6, psi(-x)) \\ Charles R Greathouse IV, Jul 19 2013

CROSSREFS

Cf. A030169, A030171, A175473, A175474.

Sequence in context: A076266 A200102 A016581 * A099220 A229174 A021956

Adjacent sequences:  A175469 A175470 A175471 * A175473 A175474 A175475

KEYWORD

cons,nonn

AUTHOR

R. J. Mathar, May 25 2010

STATUS

approved

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Last modified December 18 13:05 EST 2014. Contains 252157 sequences.