M000386

$$\pi=48\arctan\left(\frac{1}{17}\right)+12\arctan\left(\frac{1}{57}\right)+20\arctan\left(\frac{1}{99}\right)-28\arctan\left(\frac{1}{307}\right)$$
Compact formula48[17] + 12[57] + 20[99] - 28[307]
Lehmer's measure2.28539
References
STØRMER (1896) (full reference coming soon)