M000000248

$$\pi=64\arctan\left(\frac{1}{21}\right)+28\arctan\left(\frac{1}{239}\right)-16\arctan\left(\frac{1}{616}\right)+16\arctan\left(\frac{1}{3141}\right)$$
Compact formula64[21] + 28[239] - 16[616] + 16[3141]
Lehmer's measure1.82118
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 in 1980.]