M000039

$$\pi=2148\arctan\left(\frac{2}{1511}\right)+1436\arctan\left(\frac{1}{4443}\right)-20\arctan\left(\frac{2}{86161}\right)-684\arctan\left(\frac{1}{58898}\right)-1368\arctan\left(\frac{1}{110443}\right)-176\arctan\left(\frac{1}{740943}\right)-352\arctan\left(\frac{1}{5926518}\right)$$
Compact formula2148[1511/2] + 1436[4443] - 20[86161/2] - 684[58898] - 1368[110443] - 176[740943] - 352[5926518]
Lehmer's measure1.56330
References
MRW (15Aug06) (full reference coming soon)