M000000046

$$\pi=366\arctan\left(\frac{1}{109}\right)-238\arctan\left(\frac{1}{1023}\right)+94\arctan\left(\frac{1}{5832}\right)+48\arctan\left(\frac{2}{226043}\right)-34\arctan\left(\frac{1}{6826318}\right)+48\arctan\left(\frac{1}{109027476193}\right)-48\arctan\left(\frac{2}{3375905320682366575989}\right)$$
Compact formula366[109] - 238[1023] + 94[5832] + 48[226043/2] - 34[6826318] + 48[109027476193] - 48[3375905320682366575989/2]
Lehmer's measure1.57052
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 23 September 2009.]