A247684 Decimal expansion of the integral over the first quadrant (x>0, y>0) of sqrt(x^2 + x*y + y^2)*exp(-x-y) dx dy.

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

Offset

1,2

Links

G. C. Greubel, Table of n, a(n) for n = 1..10000

D. H. Bailey, J. M. Borwein, Highly Parallel, High-Precision Numerical Integration p. 9. (2005) Lawrence Berkeley National Laboratory

Formula

Equals 1 + (3/4)*log(3).

Example

1.8239592165010822685464339276918942784856179183670620888...

Mathematica

RealDigits[1 + (3/4)*Log[3], 10, 102] // First

Prog

(PARI) default(realprecision, 100); (4 + 3*log(3))/4 \\ G. C. Greubel, Sep 07 2018
(Magma) SetDefaultRealField(RealField(100)); (4 + 3*Log(3))/4; // G. C. Greubel, Sep 07 2018

Crossrefs

Cf. A244921, A247674, A247675, A247677.

Sequence in context: A307154 A298920 A254268 * A248304 A248303 A298571

Adjacent sequences: A247681 A247682 A247683 * A247685 A247686 A247687

Keyword

nonn,cons

Author

Jean-François Alcover, Sep 22 2014

Status

approved