A258164 Decimal expansion of the log Gamma integral LG_5 = Integral_{0..1} log(Gamma(x))^5 dx.

1, 1, 8, 2, 9, 8, 7, 9, 3, 1, 8, 4, 5, 5, 1, 2, 5, 8, 7, 5, 4, 1, 6, 7, 2, 9, 0, 7, 2, 9, 2, 9, 6, 4, 4, 8, 4, 9, 0, 2, 9, 2, 8, 5, 2, 9, 0, 1, 0, 8, 2, 0, 6, 5, 7, 4, 7, 3, 4, 1, 1, 0, 4, 6, 0, 5, 3, 5, 5, 7, 2, 1, 9, 9, 6, 5, 6, 3, 2, 6, 3, 5, 3, 9, 0, 1, 6, 7, 9, 8, 8, 4, 3, 9, 3, 4, 7, 8, 8, 6, 4, 5, 5, 5, 3

Offset

3,3

Links

Table of n, a(n) for n=3..107.

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

Example

118.2987931845512587541672907292964484902928529010820657473411046...

Maple

evalf(Int(log(GAMMA(x))^5, x=0..1), 120); # Vaclav Kotesovec, May 22 2015

Mathematica

LG5 = NIntegrate[LogGamma[x]^5, {x, 0, 1}, WorkingPrecision -> 105]; RealDigits[LG5] // First

Crossrefs

Cf. A075700 (LG_1), A102887 (LG_2), A258162 (LG_3), A258163 (LG_4).

Sequence in context: A154189 A359086 A154459 * A031110 A084491 A248298

Adjacent sequences: A258161 A258162 A258163 * A258165 A258166 A258167

Keyword

nonn,cons,easy

Author

Jean-François Alcover, May 22 2015

Status

approved