OFFSET
1,1
LINKS
Eric Weisstein's World of Mathematics, Right Circular Conoid
EXAMPLE
6.02721253454...
MATHEMATICA
RealDigits[Pi HypergeometricPFQ[{-1/2, 1/4, 3/4}, {1/2, 1}, -1] - NIntegrate[(Sqrt[u] (1 + u) ArcTanh[Sqrt[(1 - u)/(1 + u^2)]])/(u - 1), {u, 0, 1}, WorkingPrecision -> 250, PrecisionGoal -> 120]][[1]]
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Eric W. Weisstein, Apr 12 2024
STATUS
approved