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A268981 Decimal expansion of the third negative root of the equation Gamma(x) + Psi(x) = 0, negated. 3
3, 6, 5, 5, 7, 2, 9, 2, 4, 7, 3, 9, 1, 4, 6, 3, 0, 0, 6, 5, 1, 1, 4, 1, 1, 0, 4, 3, 4, 2, 7, 6, 6, 2, 2, 1, 9, 9, 9, 2, 4, 9, 1, 9, 6, 6, 5, 3, 4, 4, 1, 3, 4, 5, 8, 7, 2, 5, 9, 2, 8, 5, 0, 1, 1, 8, 7, 0, 3, 4, 9, 8, 0, 2, 5, 9, 0, 9, 8, 6, 4, 5, 8, 0, 1, 9, 3, 0, 6, 5, 9, 3, 9, 3, 8, 1, 0, 7, 4, 2, 2, 0, 6 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Gamma(x) stands for the gamma function (Euler's integral of the second kind), Psi(x) denotes the digamma function (logarithmic derivative of the gamma function).

LINKS

Table of n, a(n) for n=1..103.

EXAMPLE

-3.6557292473914630065114110434276622199924919665344134...

MAPLE

Digits:= 150: fsolve(GAMMA(x)+Psi(x)=0, x=-3.65);

MATHEMATICA

FindRoot[Gamma[x]+PolyGamma[x]==0, {x, -3.65}, WorkingPrecision->120][[1, 2]] // RealDigits[#, 10, 103]& // First

PROG

(PARI) default(realprecision, 120); solve(x = -3.7, -3.6, gamma(x)+psi(x))

CROSSREFS

Cf. A268893, A268979, A268980.

Sequence in context: A159058 A102370 A291050 * A245652 A106109 A275925

Adjacent sequences:  A268978 A268979 A268980 * A268982 A268983 A268984

KEYWORD

nonn,cons

AUTHOR

Iaroslav V. Blagouchine, Feb 16 2016

STATUS

approved

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Last modified August 21 10:21 EDT 2018. Contains 313937 sequences. (Running on oeis4.)