M000000397

$$\pi=14\arctan\left(\frac{2}{11}\right)+12\arctan\left(\frac{2}{39}\right)+6\arctan\left(\frac{1}{682}\right)$$
Compact formula14[11/2] + 12[39/2] + 6[682]
Lehmer's measure2.47874
References
Wetherfield, Michael Roby and Chien-Lih, Hwang. Computing pi: Lists of Machin-type (inverse cotangent) identities for pi/4, [Online; accessed 04-February-2024], 2013. [web.archive.org/web/20240204042153/http] [Found by MRW.]