M000107

$$\pi=3056\arctan\left(\frac{1}{1068}\right)+508\arctan\left(\frac{1}{3323}\right)+1768\arctan\left(\frac{1}{20457}\right)+860\arctan\left(\frac{2}{81487}\right)+752\arctan\left(\frac{1}{83247}\right)+684\arctan\left(\frac{1}{173932}\right)+2784\arctan\left(\frac{1}{409557}\right)$$
Compact formula3056[1068] + 508[3323] + 1768[20457] + 860[81487/2] + 752[83247] + 684[173932] + 2784[409557]
Lehmer's measure1.63528
References
MRW (15Aug06) (full reference coming soon)