M000021

$$\pi=1416\arctan\left(\frac{1}{580}\right)+1132\arctan\left(\frac{1}{1710}\right)+332\arctan\left(\frac{1}{5827}\right)-908\arctan\left(\frac{2}{97059}\right)-48\arctan\left(\frac{2}{2513489}\right)-332\arctan\left(\frac{1}{1561886607}\right)+908\arctan\left(\frac{1}{14130722757}\right)$$
Compact formula1416[580] + 1132[1710] + 332[5827] - 908[97059/2] - 48[2513489/2] - 332[1561886607] + 908[14130722757]
Lehmer's measure1.52140
References
ASN (6Jul09)(*1.57924) (full reference coming soon)