login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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

G. C. Greubel, Table of n, a(n) for n = 0..5000

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 A213007

Adjacent sequences:  A247014 A247015 A247016 * A247018 A247019 A247020

KEYWORD

nonn,cons,easy

AUTHOR

Jean-Fran├žois Alcover, Sep 09 2014

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified September 22 22:24 EDT 2020. Contains 337291 sequences. (Running on oeis4.)