M000114

$$\pi=183\arctan\left(\frac{1}{57}\right)-55\arctan\left(\frac{1}{1023}\right)-89\arctan\left(\frac{1}{5832}\right)+48\arctan\left(\frac{2}{226043}\right)-34\arctan\left(\frac{1}{6826318}\right)+48\arctan\left(\frac{1}{109027476193}\right)-48\arctan\left(\frac{2}{3375905320682366575989}\right)$$
Compact formula183[57] - 55[1023] - 89[5832] + 48[226043/2] - 34[6826318] + 48[109027476193] - 48[3375905320682366575989/2]
Lehmer's measure1.64923
References
MRW (23Sep09)(*1.66151) (full reference coming soon)