M000000259

$$\pi=96\arctan\left(\frac{1}{29}\right)-16\arctan\left(\frac{1}{57}\right)+28\arctan\left(\frac{1}{239}\right)-48\arctan\left(\frac{1}{12238}\right)$$
Compact formula96[29] - 16[57] + 28[239] - 48[12238]
Lehmer's measure1.91841
References
Arndt, Jörg. Remarks on arithmetical algorithms and the computation of π, 1993. [www.jjj.de/joerg.html]