Machin-like formulae
M000000164
$$\pi=68\arctan\left(\frac{1}{23}\right)+32\arctan\left(\frac{1}{182}\right)+40\arctan\left(\frac{1}{5118}\right)+20\arctan\left(\frac{1}{6072}\right)$$
Compact formula
68[23] + 32[182] + 40[5118] + 20[6072]
Lehmer's measure
1.71074
References
Arndt, Jörg. Remarks on arithmetical algorithms and the computation of π, 1993. [
www.jjj.de/joerg.html
]
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