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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.
2
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
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
KEYWORD
nonn,cons
AUTHOR
STATUS
approved