M000000088

$$\pi=3232\arctan\left(\frac{1}{1407}\right)+1064\arctan\left(\frac{2}{3351}\right)+1436\arctan\left(\frac{2}{13489}\right)+732\arctan\left(\frac{2}{234881}\right)-1308\arctan\left(\frac{2}{313489}\right)-332\arctan\left(\frac{1}{390112}\right)-1308\arctan\left(\frac{1}{2733307}\right)$$
Compact formula3232[1407] + 1064[3351/2] + 1436[13489/2] + 732[234881/2] - 1308[313489/2] - 332[390112] - 1308[2733307]
Lehmer's measure1.61290
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 15 August 2006.]