M000000004

$$\pi=332\arctan\left(\frac{1}{107}\right)+68\arctan\left(\frac{1}{1710}\right)-88\arctan\left(\frac{2}{226043}\right)-136\arctan\left(\frac{2}{2513489}\right)-88\arctan\left(\frac{1}{109027476193}\right)+88\arctan\left(\frac{2}{3375905320682366575989}\right)$$
Compact formula332[107] + 68[1710] - 88[226043/2] - 136[2513489/2] - 88[109027476193] + 88[3375905320682366575989/2]
Lehmer's measure1.30163
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.]