M000042

$$\pi=332\arctan\left(\frac{1}{239}\right)+752\arctan\left(\frac{1}{580}\right)+800\arctan\left(\frac{1}{1710}\right)-576\arctan\left(\frac{2}{97059}\right)-48\arctan\left(\frac{2}{2513489}\right)+576\arctan\left(\frac{1}{14130722757}\right)$$
Compact formula332[239] + 752[580] + 800[1710] - 576[97059/2] - 48[2513489/2] + 576[14130722757]
Lehmer's measure1.56750
References
MRW (31Jul10)(*1.65656) (full reference coming soon)