M000000024

$$\pi=508\arctan\left(\frac{1}{239}\right)+752\arctan\left(\frac{1}{515}\right)-480\arctan\left(\frac{1}{1068}\right)+352\arctan\left(\frac{2}{81487}\right)-576\arctan\left(\frac{1}{173932}\right)$$
Compact formula508[239] + 752[515] - 480[1068] + 352[81487/2] - 576[173932]
Lehmer's measure1.52714
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 21 January 1998.]