M000160

$$\pi=30640352\arctan\left(\frac{2}{16859469}\right)-3374724\arctan\left(\frac{1}{82189674}\right)-39428780\arctan\left(\frac{1}{162166243}\right)+5773276\arctan\left(\frac{1}{168623905}\right)-30107108\arctan\left(\frac{1}{244653118}\right)-6615680\arctan\left(\frac{1}{284862638}\right)-17556312\arctan\left(\frac{1}{403478642}\right)-7127356\arctan\left(\frac{1}{403916362}\right)-3562556\arctan\left(\frac{1}{657922943}\right)+15375704\arctan\left(\frac{1}{727507932}\right)-54728452\arctan\left(\frac{2}{1498434239}\right)+48150744\arctan\left(\frac{2}{4417955351}\right)-13740048\arctan\left(\frac{2}{74522099649}\right)+9669908\arctan\left(\frac{1}{106334643058}\right)+1213312\arctan\left(\frac{1}{134520516108}\right)$$
Compact formula30640352[16859469/2] - 3374724[82189674] - 39428780[162166243] + 5773276[168623905] - 30107108[244653118] - 6615680[284862638] - 17556312[403478642] - 7127356[403916362] - 3562556[657922943] + 15375704[727507932] - 54728452[1498434239/2] + 48150744[4417955351/2] - 13740048[74522099649/2] + 9669908[106334643058] + 1213312[134520516108]
Lehmer's measure1.70505
References
MRW (12Aug06) (full reference coming soon)