M000173

$$\pi=76\arctan\left(\frac{1}{24}\right)-16\arctan\left(\frac{1}{882}\right)-36\arctan\left(\frac{1}{6948}\right)+4\arctan\left(\frac{1}{43691}\right)-4\arctan\left(\frac{1}{308142}\right)$$
Compact formula76[24] - 16[882] - 36[6948] + 4[43691] - 4[308142]
Lehmer's measure1.72201
References
MATSUMOTO (2000) (full reference coming soon)