OFFSET
0,1
COMMENTS
Watson's third triple integral.
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..10000
D. H. Bailey, J. M. Borwein, V. Kapoor and E. Weisstein, Ten Problems in Experimental Mathematics
Eric Weisstein's World of Mathematics, Watson's Triple Integrals
EXAMPLE
0.505462019717326006052004053227140259985129014817420892188993487886...
MAPLE
evalf((4*(18+12*sqrt(2)-10*sqrt(3)-7*sqrt(6)))*EllipticK((2-sqrt(3))*(-sqrt(2)+sqrt(3)))^2/Pi^2, 120); # Vaclav Kotesovec, Apr 22 2015
MATHEMATICA
RealDigits[ N[ (4*(18 + 12*Sqrt[2] - 10*Sqrt[3] - 7*Sqrt[6])*EllipticK[(2 - Sqrt[3])^2*(-Sqrt[2] + Sqrt[3])^2]^2)/Pi^2, 102]][[1]] (* Jean-François Alcover, Nov 12 2012, after Eric W. Weisstein *)
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Eric W. Weisstein, Jan 27 2004
STATUS
approved