M000090

$$\pi=1036\arctan\left(\frac{2}{4989}\right)+5760\arctan\left(\frac{1}{2673}\right)+7224\arctan\left(\frac{1}{12943}\right)+1592\arctan\left(\frac{2}{362619}\right)+7508\arctan\left(\frac{2}{2885139}\right)-732\arctan\left(\frac{1}{1610057}\right)-1592\arctan\left(\frac{1}{6826318}\right)-4120\arctan\left(\frac{1}{103224943}\right)$$
Compact formula1036[4989/2] + 5760[2673] + 7224[12943] + 1592[362619/2] + 7508[2885139/2] - 732[1610057] - 1592[6826318] - 4120[103224943]
Lehmer's measure1.61412
References
MRW (15Aug06) (full reference coming soon)