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A175474 Decimal expansion of the absolute value of the abscissa of the local maximum of the Gamma function in the interval [ -3,-2]. 2
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 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

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

LINKS

Table of n, a(n) for n=1..105.

Anonymous, Particular values of the Gamma Function, Wikipedia.

E. Weisstein, Gamma Function, MathWorld.

EXAMPLE

Gamma(-2.6107208684441446500015377157..) = -0.8881363584012419200955280294..

MATHEMATICA

x /. FindRoot[ PolyGamma[0, x] == 0, {x, -5/2}, WorkingPrecision -> 105] // Abs // RealDigits // First (* Jean-François Alcover, Jan 21 2013 *)

PROG

(PARI) solve(x=2.6, 2.7, psi(-x)) \\ Charles R Greathouse IV, Jul 19 2013

CROSSREFS

Cf. A030169, A030171, A175472, A175473.

Sequence in context: A021797 A068959 A243398 * A021387 A127508 A244814

Adjacent sequences:  A175471 A175472 A175473 * A175475 A175476 A175477

KEYWORD

cons,nonn

AUTHOR

R. J. Mathar, May 25 2010

STATUS

approved

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Last modified September 30 09:24 EDT 2014. Contains 247419 sequences.