M000069

$$\pi=2324\arctan\left(\frac{1}{580}\right)-1592\arctan\left(\frac{1}{1710}\right)+332\arctan\left(\frac{1}{5832}\right)+908\arctan\left(\frac{1}{110443}\right)+860\arctan\left(\frac{2}{2513489}\right)-908\arctan\left(\frac{1}{4841182}\right)+332\arctan\left(\frac{1}{6826318}\right)$$
Compact formula2324[580] - 1592[1710] + 332[5832] + 908[110443] + 860[2513489/2] - 908[4841182] + 332[6826318]
Lehmer's measure1.59488
References
MRW (***) (full reference coming soon)