A375366 Decimal expansion of (1 + log(Pi/2))/Pi.
4, 6, 2, 0, 5, 3, 1, 2, 5, 7, 0, 7, 0, 4, 5, 3, 3, 5, 1, 9, 0, 8, 9, 8, 8, 2, 4, 9, 4, 3, 1, 9, 3, 4, 4, 6, 9, 7, 7, 9, 3, 6, 5, 8, 1, 8, 4, 9, 8, 6, 2, 9, 7, 7, 4, 8, 0, 7, 4, 0, 6, 7, 3, 0, 2, 1, 4, 7, 0, 0, 0, 4, 9, 7, 5, 4, 7, 9, 5, 4, 0, 6, 5, 4, 8, 2, 0
Offset: 0
Examples
0.46205312570704533519089882494319344697793658184986...
Programs
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Maple
(1+log(Pi/2))/Pi ; evalf(%) ;
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Mathematica
RealDigits[(Log[Pi / 2] + 1)/ Pi, 10, 120][[1]] (* Amiram Eldar, Aug 19 2024 *)
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PARI
(1+log(Pi/2))/Pi \\ Stefano Spezia, Aug 23 2025
Formula
Equals Integral_{x=0..1} sin(Pi*x) log(Gamma(x)) dx.