M000048

$$\pi=2548\arctan\left(\frac{1}{1068}\right)+1524\arctan\left(\frac{1}{2436}\right)+3712\arctan\left(\frac{1}{26307}\right)-1768\arctan\left(\frac{1}{78813}\right)+684\arctan\left(\frac{1}{119257}\right)+1368\arctan\left(\frac{1}{235252}\right)-176\arctan\left(\frac{1}{15996882}\right)$$
Compact formula2548[1068] + 1524[2436] + 3712[26307] - 1768[78813] + 684[119257] + 1368[235252] - 176[15996882]
Lehmer's measure1.57789
References
MRW (31Oct04) (full reference coming soon)