M000040

$$\pi=166\arctan\left(\frac{1}{53}\right)+68\arctan\left(\frac{1}{4443}\right)-30\arctan\left(\frac{1}{5726}\right)-20\arctan\left(\frac{2}{226043}\right)+30\arctan\left(\frac{1}{1737720807}\right)-20\arctan\left(\frac{1}{109027476193}\right)+20\arctan\left(\frac{2}{3375905320682366575989}\right)$$
Compact formula166[53] + 68[4443] - 30[5726] - 20[226043/2] + 30[1737720807] - 20[109027476193] + 20[3375905320682366575989/2]
Lehmer's measure1.56404
References
MRW (23Sep09)(*1.68247) (full reference coming soon)