M000000065

$$\pi=3388\arctan\left(\frac{1}{1710}\right)+1992\arctan\left(\frac{1}{2855}\right)+2324\arctan\left(\frac{2}{9349}\right)-664\arctan\left(\frac{1}{58898}\right)-2412\arctan\left(\frac{1}{110443}\right)-2128\arctan\left(\frac{2}{2513489}\right)+1084\arctan\left(\frac{1}{4841182}\right)$$
Compact formula3388[1710] + 1992[2855] + 2324[9349/2] - 664[58898] - 2412[110443] - 2128[2513489/2] + 1084[4841182]
Lehmer's measure1.59266
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 2004.]