Machin-like formulae
M000000370
$$\pi=22\arctan\left(\frac{1}{7}\right)+8\arctan\left(\frac{1}{443}\right)+2\arctan\left(\frac{1}{1393}\right)+4\arctan\left(\frac{1}{11018}\right)$$
Compact formula
22[7] + 8[443] + 2[1393] + 4[11018]
Lehmer's measure
2.12663
References
Arndt, Jörg. Remarks on arithmetical algorithms and the computation of π, 1993. [
www.jjj.de/joerg.html
]
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