Machin-like formulae

M000479

$$\pi=732\arctan\left(\frac{1}{239}\right)+128\arctan\left(\frac{1}{1023}\right)-272\arctan\left(\frac{1}{5832}\right)+48\arctan\left(\frac{1}{113568}\right)-400\arctan\left(\frac{1}{6826318}\right)+48\arctan\left(\frac{1}{23481902}\right)-48\arctan\left(\frac{1}{68925949733307}\right)$$
Compact formula732[239] + 128[1023] - 272[5832] + 48[113568] - 400[6826318] + 48[23481902] - 48[68925949733307]
Lehmer's measure1.57030
References
Chien-Lih, Hwang. More Machin-type identities, The Mathematical Gazette 81, 120–121, 1997. [DOI: 10.2307/3618793]

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