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%I #4 Apr 12 2024 20:38:34
%S 6,0,2,7,2,1,2,5,3,4,5,4,7,3,3,3,0,3,3,4,0,7,1,7,3,5,0,4,1,4,5,6,7,9,
%T 9,2,7,1,0,3,7,5,7,4,3,0,0,3,1,4,1,0,5,7,4,7,7,1,8,9,2,6,9,9,7,2,8,9,
%U 0,8,0,1,4,0,3,9,8,8,8,2
%N Lateral surface area of a right circular conoid with unit height and base radius.
%H Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/RightCircularConoid.html">Right Circular Conoid</a>
%e 6.02721253454...
%t 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]]
%K nonn,cons
%O 1,1
%A _Eric W. Weisstein_, Apr 12 2024