M000000080

$$\pi=332\arctan\left(\frac{1}{239}\right)+1328\arctan\left(\frac{1}{580}\right)-928\arctan\left(\frac{1}{1710}\right)+576\arctan\left(\frac{1}{110443}\right)+528\arctan\left(\frac{2}{2513489}\right)-576\arctan\left(\frac{1}{4841182}\right)$$
Compact formula332[239] + 1328[580] - 928[1710] + 576[110443] + 528[2513489/2] - 576[4841182]
Lehmer's measure1.60346
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 9 June 2009.]