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A247017 Decimal expansion of integral_{0..infinity} exp(-x^2)*log(x) dx. 1
8, 7, 0, 0, 5, 7, 7, 2, 6, 7, 2, 8, 3, 1, 5, 5, 0, 6, 7, 3, 4, 6, 4, 8, 7, 9, 9, 5, 3, 6, 0, 8, 7, 4, 3, 7, 5, 0, 8, 1, 0, 7, 3, 3, 3, 6, 2, 5, 9, 4, 0, 0, 5, 3, 7, 8, 8, 5, 8, 3, 3, 8, 5, 1, 9, 6, 5, 2, 5, 8, 4, 2, 7, 1, 4, 4, 2, 9, 5, 4, 0, 0, 8, 3, 7, 2, 1, 9, 5, 0, 7, 8, 7, 7, 1, 9, 4, 2, 9, 6, 9, 1 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
0,1
REFERENCES
Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 1.5 Euler-Mascheroni constant, p. 31, 1.5.2 Integrals.
LINKS
FORMULA
Equals -(1/4)*sqrt(Pi)*(EulerGamma + 2*log(2)).
EXAMPLE
-0.87005772672831550673464879953608743750810733362594...
MATHEMATICA
RealDigits[-(1/4)*Sqrt[Pi]*( EulerGamma + 2*Log[2]), 10, 102] // First
PROG
(PARI) -(1/4)*sqrt(Pi)*(Euler + 2*log(2)) \\ Michel Marcus, Sep 09 2014
CROSSREFS
Cf. A020759.
Sequence in context: A264587 A265024 A051762 * A330142 A198112 A358938
KEYWORD
nonn,cons,easy
AUTHOR
STATUS
approved

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Last modified March 18 22:29 EDT 2024. Contains 370951 sequences. (Running on oeis4.)