A175473 - OEIS

A175473

Decimal expansion of the absolute value of the abscissa of the local minimum of the Gamma function in the interval [ -2,-1].

1, 5, 7, 3, 4, 9, 8, 4, 7, 3, 1, 6, 2, 3, 9, 0, 4, 5, 8, 7, 7, 8, 2, 8, 6, 0, 4, 3, 6, 9, 0, 4, 3, 4, 6, 1, 2, 6, 5, 5, 0, 4, 0, 8, 5, 9, 1, 1, 6, 8, 4, 6, 1, 4, 9, 9, 3, 0, 1, 4, 2, 5, 6, 8, 7, 9, 7, 0, 2, 0, 3, 4, 4, 3, 9, 6, 5, 1, 4, 0, 4, 8, 1, 0, 4, 7, 3, 2, 3, 9, 8, 2, 5, 1, 8, 8, 5, 6, 2, 8, 1, 8, 7, 7, 0

(list; constant; graph; refs; listen; history; text; internal format)

OFFSET

1,2

COMMENTS

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

REFERENCES

Jerome Spanier and Keith B. Oldham, "Atlas of Functions", Hemisphere Publishing Corp., 1987, chapter 44, page 427.

LINKS

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

Eric Weisstein's World of Mathematics, Gamma Function.

Wikipedia, Particular values of the Gamma function.

EXAMPLE

Gamma(-1.5734984731623904587782860437..) = 2.3024072583396801358235820396..

MATHEMATICA

x /. FindRoot[ PolyGamma[0, x] == 0, {x, -3/2}, WorkingPrecision -> 110] // Abs // RealDigits // First // Take[#, 105]& (* Jean-François Alcover, Jan 21 2013 *)

PROG

(PARI) solve(x=1.5, 1.6, psi(-x)) \\ Charles R Greathouse IV, Jul 19 2013

CROSSREFS

Cf. A030169, A030171, A175472, A175474.

Sequence in context: A241140 A109986 A245741 * A180079 A019844 A155529

Adjacent sequences: A175470 A175471 A175472 * A175474 A175475 A175476

KEYWORD

cons,nonn

AUTHOR

R. J. Mathar, May 25 2010

STATUS

approved