M000140

$$\pi=27077796\arctan\left(\frac{1}{9165843}\right)+3750388\arctan\left(\frac{1}{82189674}\right)-804432\arctan\left(\frac{1}{213495433}\right)+11235072\arctan\left(\frac{1}{225823278}\right)+3864944\arctan\left(\frac{1}{227661182}\right)-2154064\arctan\left(\frac{1}{244653118}\right)+5121436\arctan\left(\frac{1}{284862638}\right)+13631444\arctan\left(\frac{1}{403478642}\right)+8474704\arctan\left(\frac{1}{403916362}\right)+11813148\arctan\left(\frac{1}{727507932}\right)-1351836\arctan\left(\frac{1}{934981432}\right)+510176\arctan\left(\frac{2}{74522099649}\right)+1997392\arctan\left(\frac{1}{106334643058}\right)+1760716\arctan\left(\frac{1}{134520516108}\right)+4914392\arctan\left(\frac{1}{293153860797}\right)$$
Compact formula27077796[9165843] + 3750388[82189674] - 804432[213495433] + 11235072[225823278] + 3864944[227661182] - 2154064[244653118] + 5121436[284862638] + 13631444[403478642] + 8474704[403916362] + 11813148[727507932] - 1351836[934981432] + 510176[74522099649/2] + 1997392[106334643058] + 1760716[134520516108] + 4914392[293153860797]
Lehmer's measure1.68594
References
MRW (26Feb10)(ΒΆΒΆ1.87315) (full reference coming soon)