M000025

$$\pi=332\arctan\left(\frac{1}{107}\right)+68\arctan\left(\frac{1}{4443}\right)+272\arctan\left(\frac{1}{11343}\right)-20\arctan\left(\frac{1}{113021}\right)-136\arctan\left(\frac{1}{595667}\right)+20\arctan\left(\frac{1}{33366019650}\right)-20\arctan\left(\frac{1}{43599522992503626068}\right)$$
Compact formula332[107] + 68[4443] + 272[11343] - 20[113021] - 136[595667] + 20[33366019650] - 20[43599522992503626068]
Lehmer's measure1.53053
References
HCL (21Jun03)(*1.53457) (full reference coming soon)