M000000290

$$\pi=176\arctan\left(\frac{1}{99}\right)+204\arctan\left(\frac{1}{239}\right)+176\arctan\left(\frac{1}{307}\right)-48\arctan\left(\frac{1}{682}\right)+96\arctan\left(\frac{1}{12943}\right)$$
Compact formula176[99] + 204[239] + 176[307] - 48[682] + 96[12943]
Lehmer's measure1.91968
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 HCL on 27 October 2004.]