M000000103

$$\pi=5028\arctan\left(\frac{1}{2943}\right)+11064\arctan\left(\frac{1}{7535}\right)+1592\arctan\left(\frac{1}{37532}\right)-4424\arctan\left(\frac{2}{142211}\right)-3692\arctan\left(\frac{1}{167318}\right)+3964\arctan\left(\frac{1}{664373}\right)+2832\arctan\left(\frac{1}{3484681}\right)-908\arctan\left(\frac{1}{7042807}\right)$$
Compact formula5028[2943] + 11064[7535] + 1592[37532] - 4424[142211/2] - 3692[167318] + 3964[664373] + 2832[3484681] - 908[7042807]
Lehmer's measure1.63300
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 MRW on 20 September 2004.]