M000000255

$$\pi=96\arctan\left(\frac{1}{53}\right)+80\arctan\left(\frac{1}{57}\right)-20\arctan\left(\frac{1}{239}\right)+48\arctan\left(\frac{1}{4443}\right)$$
Compact formula96[53] + 80[57] - 20[239] + 48[4443]
Lehmer's measure1.84406
References
Arndt, Jörg. Remarks on arithmetical algorithms and the computation of π, 1993. [www.jjj.de/joerg.html]