M000016

$$\pi=2324\arctan\left(\frac{1}{580}\right)-1592\arctan\left(\frac{1}{1710}\right)+332\arctan\left(\frac{1}{5827}\right)+908\arctan\left(\frac{1}{103697}\right)-48\arctan\left(\frac{2}{2513489}\right)-332\arctan\left(\frac{1}{1561886607}\right)+908\arctan\left(\frac{2}{18280007883}\right)$$
Compact formula2324[580] - 1592[1710] + 332[5827] + 908[103697] - 48[2513489/2] - 332[1561886607] + 908[18280007883/2]
Lehmer's measure1.50924
References
ASN (3Aug10)(*1.59200) (full reference coming soon)