A388259 Decimal expansion of Integral_{x=0..1} log(Gamma(x))*PolyGamma(1-x) dx (negated).

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

Offset

1,3

Links

Table of n, a(n) for n=1..105.

Formula

Equals -gamma^2/2 - zeta(2)/4 + log(2*Pi)/2 + gamma_1, where gamma_1 is A082633.

Example

1.1838894224844716329738924434...

Mathematica

RealDigits[-EulerGamma^2/2 - Zeta[2]/4 + Log[2 Pi]^2/2 - StieltjesGamma[1], 10, 105][[1]]

Crossrefs

Cf. A102887.

Sequence in context: A368008 A085011 A250129 * A099724 A024568 A166202

Adjacent sequences: A388256 A388257 A388258 * A388260 A388261 A388262

Keyword

nonn,cons

Author

Artur Jasinski, Sep 16 2025

Status

approved