M000110

$$\pi=76\arctan\left(\frac{1}{24}\right)-16\arctan\left(\frac{1}{882}\right)-36\arctan\left(\frac{1}{6948}\right)+4\arctan\left(\frac{1}{50909}\right)-4\arctan\left(\frac{2}{14254596369}\right)$$
Compact formula76[24] - 16[882] - 36[6948] + 4[50909] - 4[14254596369/2]
Lehmer's measure1.63827
References
ASN (24Aug09)(*1.72201) (full reference coming soon)