OFFSET
0,1
LINKS
FORMULA
1/2 + (1/2)Int[sqrt((x-u)^2 +4yz)] over the 4-dimensional cube 0<=x,y,u,v<=1 = (29/60)log((1+sqrt(5))/2) - 43*sqrt(5)/720 + 3229/3600 =~ 0.995987211233682003866.
MATHEMATICA
1/2 + (1/2)*(ArcCoth[Sqrt[5]] + (1429 - 215*Sqrt[5] - 60*ArcCsch[2])/1800) // RealDigits[#, 10, 104]& // First (* Jean-François Alcover, Mar 04 2013 *)
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Emeric Deutsch, Feb 26 2008
STATUS
approved