M000101

$$\pi=76648\arctan\left(\frac{1}{40515}\right)+48000\arctan\left(\frac{1}{51412}\right)+36000\arctan\left(\frac{1}{219602}\right)+45628\arctan\left(\frac{1}{734557}\right)+105852\arctan\left(\frac{1}{1039784}\right)-25084\arctan\left(\frac{1}{6826318}\right)-11952\arctan\left(\frac{1}{7626068}\right)-63056\arctan\left(\frac{1}{9639557}\right)+732\arctan\left(\frac{1}{21072618}\right)+33676\arctan\left(\frac{1}{2539791558}\right)$$
Compact formula76648[40515] + 48000[51412] + 36000[219602] + 45628[734557] + 105852[1039784] - 25084[6826318] - 11952[7626068] - 63056[9639557] + 732[21072618] + 33676[2539791558]
Lehmer's measure1.63085
References
MRW (12May97) (full reference coming soon)