M000100

$$\pi=6348\arctan\left(\frac{1}{2852}\right)+3552\arctan\left(\frac{1}{4246}\right)+1436\arctan\left(\frac{1}{39307}\right)+1924\arctan\left(\frac{1}{55603}\right)+2500\arctan\left(\frac{1}{211050}\right)+1180\arctan\left(\frac{2}{671831}\right)-2832\arctan\left(\frac{1}{390112}\right)+1180\arctan\left(\frac{1}{140716812943}\right)$$
Compact formula6348[2852] + 3552[4246] + 1436[39307] + 1924[55603] + 2500[211050] + 1180[671831/2] - 2832[390112] + 1180[140716812943]
Lehmer's measure1.63077
References
ASN (13Sep09)(*1.63617, ΒΆΒΆ2.00593) (full reference coming soon)