M000067

$$\pi=43832\arctan\left(\frac{1}{39307}\right)+74020\arctan\left(\frac{1}{44179}\right)+48000\arctan\left(\frac{1}{167318}\right)+6796\arctan\left(\frac{1}{333367}\right)+1592\arctan\left(\frac{1}{390112}\right)-5476\arctan\left(\frac{2}{2885139}\right)+28648\arctan\left(\frac{2}{3142271}\right)+40472\arctan\left(\frac{1}{1610057}\right)+9900\arctan\left(\frac{1}{103224943}\right)$$
Compact formula43832[39307] + 74020[44179] + 48000[167318] + 6796[333367] + 1592[390112] - 5476[2885139/2] + 28648[3142271/2] + 40472[1610057] + 9900[103224943]
Lehmer's measure1.59393
References
MRW (14Aug06) (full reference coming soon)