M000134

$$\pi=244\arctan\left(\frac{1}{72}\right)-116\arctan\left(\frac{1}{682}\right)-108\arctan\left(\frac{1}{1483}\right)-28\arctan\left(\frac{1}{9932}\right)-40\arctan\left(\frac{1}{29718}\right)$$
Compact formula244[72] - 116[682] - 108[1483] - 28[9932] - 40[29718]
Lehmer's measure1.68038
References
MRW (11Jan98) (full reference coming soon)