Machin-like formulae

M000128

$$\pi=176\arctan\left(\frac{1}{57}\right)+28\arctan\left(\frac{1}{239}\right)-96\arctan\left(\frac{1}{1626}\right)-48\arctan\left(\frac{1}{12238}\right)-96\arctan\left(\frac{1}{76670807}\right)$$
Compact formula176[57] + 28[239] - 96[1626] - 48[12238] - 96[76670807]
Lehmer's measure1.67285
References
Chien-Lih, Hwang. More Machin-type identities, The Mathematical Gazette 81, 120–121, 1997. [DOI: 10.2307/3618793]

KOEPP (1994) (full reference coming soon)

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