M000000096

$$\pi=\frac{332}{7}\arctan\left(\frac{1}{15}\right)\frac{-188}{7}\arctan\left(\frac{1}{1710}\right)+\frac{48}{7}\arctan\left(\frac{1}{103697}\right)\frac{-4}{7}\arctan\left(\frac{2}{2513489}\right)+\frac{48}{7}\arctan\left(\frac{2}{18280007883}\right)$$
Compact formula332/7[15] - 188/7[1710] + 48/7[103697] - 4/7[2513489/2] + 48/7[18280007883/2]
Lehmer's measure1.62330
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 on 18 November 2004.]