M000000182

$$\pi=224\arctan\left(\frac{1}{99}\right)+108\arctan\left(\frac{1}{239}\right)+128\arctan\left(\frac{1}{307}\right)+48\arctan\left(\frac{1}{4693}\right)-48\arctan\left(\frac{1}{31895807}\right)$$
Compact formula224[99] + 108[239] + 128[307] + 48[4693] - 48[31895807]
Lehmer's measure1.72925
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 in 1975.]