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A256686 Decimal expansion of the [negated] abscissa of the Gamma function local maximum in the interval [-9,-8]. 2
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 (list; constant; graph; refs; listen; history; text; internal format)
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-Fran├žois Alcover, Apr 08 2015

STATUS

approved

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Last modified December 13 12:49 EST 2018. Contains 318086 sequences. (Running on oeis4.)