M000000075

$$\pi=2548\arctan\left(\frac{1}{1068}\right)+1524\arctan\left(\frac{1}{2436}\right)+3028\arctan\left(\frac{1}{26307}\right)+1368\arctan\left(\frac{2}{81487}\right)-1768\arctan\left(\frac{1}{78813}\right)+684\arctan\left(\frac{1}{173932}\right)+508\arctan\left(\frac{1}{15996882}\right)$$
Compact formula2548[1068] + 1524[2436] + 3028[26307] + 1368[81487/2] - 1768[78813] + 684[173932] + 508[15996882]
Lehmer's measure1.60248
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 31 October 2004.]