M000115

$$\pi=152\arctan\left(\frac{1}{47}\right)-28\arctan\left(\frac{1}{307}\right)-28\arctan\left(\frac{1}{35709}\right)+4\arctan\left(\frac{2}{296489}\right)+4\arctan\left(\frac{1}{18677233307}\right)+28\arctan\left(\frac{1}{58802248042}\right)+28\arctan\left(\frac{1}{440238222726499757318}\right)$$
Compact formula152[47] - 28[307] - 28[35709] + 4[296489/2] + 4[18677233307] + 28[58802248042] + 28[440238222726499757318]
Lehmer's measure1.65180
References
ASN (12Oct09)(*1.75242) (full reference coming soon)