M000123

$$\pi=73250\arctan\left(\frac{1}{39356}\right)+51398\arctan\left(\frac{1}{51412}\right)-3398\arctan\left(\frac{1}{96348}\right)+42796\arctan\left(\frac{2}{362619}\right)+55822\arctan\left(\frac{1}{734557}\right)-28482\arctan\left(\frac{1}{6826318}\right)+61298\arctan\left(\frac{1}{7626068}\right)-2666\arctan\left(\frac{1}{21072618}\right)+3398\arctan\left(\frac{1}{26157373}\right)+40472\arctan\left(\frac{1}{2539791558}\right)$$
Compact formula73250[39356] + 51398[51412] - 3398[96348] + 42796[362619/2] + 55822[734557] - 28482[6826318] + 61298[7626068] - 2666[21072618] + 3398[26157373] + 40472[2539791558]
Lehmer's measure1.66049
References
HCL (2003) (full reference coming soon)