M000000078

$$\pi=3232\arctan\left(\frac{1}{1118}\right)+1396\arctan\left(\frac{1}{5283}\right)-372\arctan\left(\frac{2}{47761}\right)-332\arctan\left(\frac{1}{97042}\right)+860\arctan\left(\frac{2}{313489}\right)-244\arctan\left(\frac{1}{2733307}\right)+1768\arctan\left(\frac{1}{23747457}\right)+332\arctan\left(\frac{1}{47085845867}\right)$$
Compact formula3232[1118] + 1396[5283] - 372[47761/2] - 332[97042] + 860[313489/2] - 244[2733307] + 1768[23747457] + 332[47085845867]
Lehmer's measure1.60270
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 12 July 2010.]