M000000111

$$\pi=1308\arctan\left(\frac{1}{463}\right)+616\arctan\left(\frac{1}{1407}\right)-244\arctan\left(\frac{2}{3351}\right)+128\arctan\left(\frac{2}{13489}\right)+732\arctan\left(\frac{2}{234881}\right)-332\arctan\left(\frac{1}{390112}\right)$$
Compact formula1308[463] + 616[1407] - 244[3351/2] + 128[13489/2] + 732[234881/2] - 332[390112]
Lehmer's measure1.64021
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 03 June 2009.]