M000111

$$\pi=1308\arctan\left(\frac{1}{463}\right)+616\arctan\left(\frac{1}{1407}\right)-244\arctan\left(\frac{2}{3351}\right)+128\arctan\left(\frac{2}{13489}\right)+732\arctan\left(\frac{2}{234881}\right)-332\arctan\left(\frac{1}{390112}\right)$$
Compact formula1308[463] + 616[1407] - 244[3351/2] + 128[13489/2] + 732[234881/2] - 332[390112]
Lehmer's measure1.64021
References
MRW (3Jun09) (full reference coming soon)