M000000062

$$\pi=332\arctan\left(\frac{1}{239}\right)+1328\arctan\left(\frac{1}{580}\right)-928\arctan\left(\frac{1}{1710}\right)+576\arctan\left(\frac{2}{226043}\right)+528\arctan\left(\frac{2}{2513489}\right)+576\arctan\left(\frac{1}{109027476193}\right)-576\arctan\left(\frac{2}{3375905320682366575989}\right)$$
Compact formula332[239] + 1328[580] - 928[1710] + 576[226043/2] + 528[2513489/2] + 576[109027476193] - 576[3375905320682366575989/2]
Lehmer's measure1.59119
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 and MRW on 2 August 2010.]