M000000087

$$\pi=88\arctan\left(\frac{1}{28}\right)+8\arctan\left(\frac{1}{443}\right)-20\arctan\left(\frac{1}{1112}\right)-20\arctan\left(\frac{1}{8637069}\right)+20\arctan\left(\frac{1}{133280317780182}\right)$$
Compact formula88[28] + 8[443] - 20[1112] - 20[8637069] + 20[133280317780182]
Lehmer's measure1.61213
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 on 14 September 2009.]