M000093

$$\pi=3232\arctan\left(\frac{1}{1407}\right)+1064\arctan\left(\frac{2}{3351}\right)+1436\arctan\left(\frac{2}{13489}\right)+732\arctan\left(\frac{2}{234881}\right)-2616\arctan\left(\frac{1}{247057}\right)-332\arctan\left(\frac{1}{390112}\right)+1308\arctan\left(\frac{1}{740943}\right)$$
Compact formula3232[1407] + 1064[3351/2] + 1436[13489/2] + 732[234881/2] - 2616[247057] - 332[390112] + 1308[740943]
Lehmer's measure1.62085
References
MRW (15Aug06) (full reference coming soon)