Machin-like formulae
M000000262
$$\pi=48\arctan\left(\frac{1}{18}\right)+32\arctan\left(\frac{1}{109}\right)+44\arctan\left(\frac{1}{239}\right)-32\arctan\left(\frac{1}{6826318}\right)$$
Compact formula
48[18] + 32[109] + 44[239] - 32[6826318]
Lehmer's measure
1.85422
References
Arndt, Jörg. Remarks on arithmetical algorithms and the computation of π, 1993. [
www.jjj.de/joerg.html
]
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