M000000270

$$\pi=64\arctan\left(\frac{1}{21}\right)+12\arctan\left(\frac{1}{239}\right)+16\arctan\left(\frac{1}{421}\right)+16\arctan\left(\frac{1}{1985}\right)$$
Compact formula64[21] + 12[239] + 16[421] + 16[1985]
Lehmer's measure1.86104
References
Arndt, Jörg. Remarks on arithmetical algorithms and the computation of π, 1993. [www.jjj.de/joerg.html]