M000000025

$$\pi=332\arctan\left(\frac{1}{107}\right)+68\arctan\left(\frac{1}{4443}\right)+272\arctan\left(\frac{1}{11343}\right)-20\arctan\left(\frac{1}{113021}\right)-136\arctan\left(\frac{1}{595667}\right)+20\arctan\left(\frac{1}{33366019650}\right)-20\arctan\left(\frac{1}{43599522992503626068}\right)$$
Compact formula332[107] + 68[4443] + 272[11343] - 20[113021] - 136[595667] + 20[33366019650] - 20[43599522992503626068]
Lehmer's measure1.53053
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 21 June 2003.]