M000000129

$$\pi=352\arctan\left(\frac{1}{114}\right)+28\arctan\left(\frac{1}{239}\right)-48\arctan\left(\frac{1}{682}\right)+96\arctan\left(\frac{1}{12943}\right)-176\arctan\left(\frac{1}{740943}\right)$$
Compact formula352[114] + 28[239] - 48[682] + 96[12943] - 176[740943]
Lehmer's measure1.67305
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 Koepp in 1994.]