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A258162 Decimal expansion of the log Gamma integral LG_3 = Integral_{0..1} log(Gamma(x))^3 dx. 3
5, 7, 4, 0, 3, 8, 8, 8, 0, 7, 2, 2, 9, 4, 7, 4, 2, 8, 0, 0, 1, 9, 5, 7, 1, 6, 8, 8, 1, 0, 2, 4, 6, 1, 4, 6, 2, 9, 6, 1, 0, 1, 3, 0, 0, 7, 4, 5, 4, 8, 7, 3, 3, 3, 1, 4, 2, 5, 4, 0, 2, 4, 5, 1, 2, 3, 8, 8, 8, 4, 3, 8, 7, 1, 7, 7, 1, 2, 5, 0, 2, 6, 1, 0, 6, 2, 6, 2, 1, 6, 6, 6, 2, 8, 7, 2, 3, 3, 0, 5, 1, 5, 7, 8 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

G. C. Greubel, Table of n, a(n) for n = 1..1000

David H. Bailey, David Borwein, Jonathan M. Borwein, On Eulerian Log-Gamma Integrals and Tornheim-Witten Zeta Functions

EXAMPLE

5.7403888072294742800195716881024614629610130074548733314254...

MAPLE

evalf(Int(log(GAMMA(x))^3, x=0..1), 120); # Vaclav Kotesovec, May 22 2015

MATHEMATICA

LG3 = NIntegrate[LogGamma[x]^3, {x, 0, 1}, WorkingPrecision -> 104]; RealDigits[LG3] // First

PROG

(PARI) intnum(x=0, 1, log(gamma(x))^3) \\ Michel Marcus, Oct 24 2017

CROSSREFS

Cf. A075700 (LG_1), A102887 (LG_2), A258163 (LG_4), A258164 (LG_5).

Sequence in context: A146535 A141650 A058091 * A021868 A243395 A245655

Adjacent sequences:  A258159 A258160 A258161 * A258163 A258164 A258165

KEYWORD

nonn,cons,easy

AUTHOR

Jean-Fran├žois Alcover, May 22 2015

STATUS

approved

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Last modified September 22 03:21 EDT 2020. Contains 337289 sequences. (Running on oeis4.)