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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
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
Sequence in context: A323778 A102370 A291050 * A353909 A245652 A106109
KEYWORD
nonn,cons
AUTHOR
STATUS
approved

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Last modified August 25 12:03 EDT 2024. Contains 375438 sequences. (Running on oeis4.)