M000159

$$\pi=2398552\arctan\left(\frac{1}{1435952}\right)+190076\arctan\left(\frac{2}{4080261}\right)+2521316\arctan\left(\frac{1}{2298668}\right)+1541912\arctan\left(\frac{1}{5835807}\right)+108928\arctan\left(\frac{1}{8519197}\right)+408880\arctan\left(\frac{1}{133311327}\right)-377908\arctan\left(\frac{1}{159358932}\right)+807332\arctan\left(\frac{1}{213495433}\right)+1674576\arctan\left(\frac{1}{225823278}\right)+500184\arctan\left(\frac{1}{227661182}\right)-2387060\arctan\left(\frac{1}{284862638}\right)-1104296\arctan\left(\frac{1}{727507932}\right)+517896\arctan\left(\frac{2}{74522099649}\right)$$
Compact formula2398552[1435952] + 190076[4080261/2] + 2521316[2298668] + 1541912[5835807] + 108928[8519197] + 408880[133311327] - 377908[159358932] + 807332[213495433] + 1674576[225823278] + 500184[227661182] - 2387060[284862638] - 1104296[727507932] + 517896[74522099649/2]
Lehmer's measure1.70031
References
MRW (13Aug06) (full reference coming soon)