A256686 Decimal expansion of the [negated] abscissa of the Gamma function local maximum in the interval [-9,-8].

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

Offset

1,1

Links

Table of n, a(n) for n=1..104.

Eric Weisstein's MathWorld, Gamma Function

Wikipedia, Particular values of the Gamma Function

Formula

Solution to PolyGamma(x) = 0 in the interval [-9,-8].

Example

Gamma(-8.695764163816401266488776160804645820272438084966728783...)
= -0.00002092529044652666875369728468060738117860083247673665...

Mathematica

digits = 104; x0 = x /. FindRoot[PolyGamma[0, x] == 0, {x, -17/2}, WorkingPrecision -> digits + 5]; RealDigits[x0, 10, digits] // First

Crossrefs

Cf. A030169, A030171, A175472, A175473, A256681-A256685, A256687.

Sequence in context: A318645 A021096 A021119 * A160056 A155680 A249103

Adjacent sequences: A256683 A256684 A256685 * A256687 A256688 A256689

Keyword

nonn,cons

Author

Jean-François Alcover, Apr 08 2015

Status

approved