M000169

$$\pi=25198742\arctan\left(\frac{2}{16859469}\right)+7508496\arctan\left(\frac{1}{82189674}\right)+14639084\arctan\left(\frac{1}{159358932}\right)-16449028\arctan\left(\frac{1}{162166243}\right)+8315828\arctan\left(\frac{1}{213495433}\right)+15111518\arctan\left(\frac{1}{225823278}\right)+511676\arctan\left(\frac{1}{284862638}\right)-13328014\arctan\left(\frac{1}{403478642}\right)+1879054\arctan\left(\frac{1}{657922943}\right)+4824150\arctan\left(\frac{1}{727507932}\right)-19179734\arctan\left(\frac{2}{1498434239}\right)+24698558\arctan\left(\frac{2}{4417955351}\right)+5109944\arctan\left(\frac{1}{7804016832}\right)+8026392\arctan\left(\frac{2}{74522099649}\right)-9197474\arctan\left(\frac{1}{293153860797}\right)$$
Compact formula25198742[16859469/2] + 7508496[82189674] + 14639084[159358932] - 16449028[162166243] + 8315828[213495433] + 15111518[225823278] + 511676[284862638] - 13328014[403478642] + 1879054[657922943] + 4824150[727507932] - 19179734[1498434239/2] + 24698558[4417955351/2] + 5109944[7804016832] + 8026392[74522099649/2] - 9197474[293153860797]
Lehmer's measure1.71752
References
MRW (12Aug06) (full reference coming soon)