M000199

$$\pi=199779992\arctan\left(\frac{1}{162166243}\right)+199011208\arctan\left(\frac{1}{225823278}\right)+275831916\arctan\left(\frac{1}{284862638}\right)+19190270\arctan\left(\frac{1}{403478642}\right)-189340178\arctan\left(\frac{1}{657922943}\right)+87928872\arctan\left(\frac{1}{727507932}\right)+223433268\arctan\left(\frac{2}{1498434239}\right)-383934934\arctan\left(\frac{2}{4417955351}\right)+268000698\arctan\left(\frac{1}{5606994804}\right)+114409694\arctan\left(\frac{1}{7804016832}\right)-50397484\arctan\left(\frac{2}{27894683333}\right)+58423876\arctan\left(\frac{2}{74522099649}\right)-434021188\arctan\left(\frac{1}{66492889557}\right)+50208530\arctan\left(\frac{1}{68844144046}\right)+57905980\arctan\left(\frac{1}{190122366697}\right)+30829306\arctan\left(\frac{1}{293153860797}\right)-158700948\arctan\left(\frac{1}{169838669284032}\right)$$
Compact formula199779992[162166243] + 199011208[225823278] + 275831916[284862638] + 19190270[403478642] - 189340178[657922943] + 87928872[727507932] + 223433268[1498434239/2] - 383934934[4417955351/2] + 268000698[5606994804] + 114409694[7804016832] - 50397484[27894683333/2] + 58423876[74522099649/2] - 434021188[66492889557] + 50208530[68844144046] + 57905980[190122366697] + 30829306[293153860797] - 158700948[169838669284032]
Lehmer's measure1.74957
References
MRW (11Aug06) (full reference coming soon)