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 A347166 Decimal expansion of (gamma + log(2)) * Pi / 2. 0
 1, 9, 9, 5, 4, 8, 1, 2, 9, 1, 3, 4, 7, 6, 0, 2, 8, 1, 5, 0, 5, 6, 9, 1, 1, 7, 1, 4, 7, 5, 4, 3, 2, 6, 9, 8, 3, 2, 2, 3, 1, 2, 3, 9, 4, 0, 8, 7, 0, 9, 4, 3, 5, 5, 1, 4, 8, 0, 9, 7, 1, 6, 6, 5, 6, 9, 5, 9, 0, 8, 8, 8, 9, 4, 0, 3, 3, 9, 2, 0, 1, 2, 5, 3, 7, 8, 3 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Shamos has incorrect integral expression for this constant. REFERENCES I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series and Products, Academic Press (1979), Eq. (4.421.1). LINKS Table of n, a(n) for n=1..87. Michael I. Shamos, Shamos's catalog of the real numbers (2011). FORMULA Equals -Integral_{x=0..infinity} log(x) * sin(2*x) / x dx. More generally, Integral_{x=0..infinity} log(x) * sin(k*x) / x dx = -(Pi/2) * (gamma+log(k)). EXAMPLE 1.995481291347602815056911714754326983223123940... MAPLE evalf((gamma+log(2))*Pi/2, 140); # Alois P. Heinz, Aug 20 2021 MATHEMATICA RealDigits[(EulerGamma + Log[2])*Pi/2, 10, 120][[1]] (* Amiram Eldar, Jun 07 2023 *) PROG (PARI) (Euler + log(2))*Pi/2 \\ Michel Marcus, Aug 20 2021 CROSSREFS Cf. A001620. Sequence in context: A155995 A347151 A229191 * A347081 A347152 A131744 Adjacent sequences: A347163 A347164 A347165 * A347167 A347168 A347169 KEYWORD nonn,cons AUTHOR Sean A. Irvine, Aug 20 2021 STATUS approved

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Last modified September 24 14:02 EDT 2023. Contains 365579 sequences. (Running on oeis4.)