A258162 Decimal expansion of the log Gamma integral LG_3 = Integral_{0..1} log(Gamma(x))^3 dx.

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

Offset

1,1

Links

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

David H. Bailey, David Borwein, and 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-François Alcover, May 22 2015

Status

approved