M000000201

$$\pi=152\arctan\left(\frac{1}{47}\right)-28\arctan\left(\frac{1}{307}\right)-28\arctan\left(\frac{1}{39307}\right)+8\arctan\left(\frac{1}{247057}\right)-28\arctan\left(\frac{1}{390112}\right)-4\arctan\left(\frac{1}{740943}\right)$$
Compact formula152[47] - 28[307] - 28[39307] + 8[247057] - 28[390112] - 4[740943]
Lehmer's measure1.75242
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 Amrik Singh Nimbran.]