M000012

$$\pi=732\arctan\left(\frac{1}{239}\right)+128\arctan\left(\frac{1}{1023}\right)-272\arctan\left(\frac{1}{5832}\right)+48\arctan\left(\frac{2}{226043}\right)-400\arctan\left(\frac{1}{6826318}\right)+48\arctan\left(\frac{1}{109027476193}\right)-48\arctan\left(\frac{2}{3375905320682366575989}\right)$$
Compact formula732[239] + 128[1023] - 272[5832] + 48[226043/2] - 400[6826318] + 48[109027476193] - 48[3375905320682366575989/2]
Lehmer's measure1.50016
References
MRW (23Sep09)(*1.51244, ¢¢1.97343, ¢¢1.97604) (full reference coming soon)