M000181

$$\pi=19379224\arctan\left(\frac{2}{16859469}\right)+19147532\arctan\left(\frac{1}{29621935}\right)+11639036\arctan\left(\frac{1}{36313568}\right)-7886404\arctan\left(\frac{1}{159358932}\right)-8940532\arctan\left(\frac{1}{162166243}\right)+1783504\arctan\left(\frac{1}{225823278}\right)+1319008\arctan\left(\frac{1}{284862638}\right)-11448960\arctan\left(\frac{1}{657922943}\right)-995368\arctan\left(\frac{1}{727507932}\right)-12552884\arctan\left(\frac{2}{1498434239}\right)+10563212\arctan\left(\frac{2}{4417955351}\right)-6701164\arctan\left(\frac{1}{5606994804}\right)-1591220\arctan\left(\frac{1}{7804016832}\right)+517896\arctan\left(\frac{2}{74522099649}\right)-807332\arctan\left(\frac{1}{66492889557}\right)$$
Compact formula19379224[16859469/2] + 19147532[29621935] + 11639036[36313568] - 7886404[159358932] - 8940532[162166243] + 1783504[225823278] + 1319008[284862638] - 11448960[657922943] - 995368[727507932] - 12552884[1498434239/2] + 10563212[4417955351/2] - 6701164[5606994804] - 1591220[7804016832] + 517896[74522099649/2] - 807332[66492889557]
Lehmer's measure1.72880
References
MRW (12Aug06) (full reference coming soon)