Machin-like formulae

M000106

$$\pi=176\arctan\left(\frac{1}{57}\right)-20\arctan\left(\frac{1}{239}\right)+48\arctan\left(\frac{1}{348}\right)-48\arctan\left(\frac{1}{812852}\right)+48\arctan\left(\frac{1}{1453603235443}\right)$$
Compact formula176[57] - 20[239] + 48[348] - 48[812852] + 48[1453603235443]
Lehmer's measure1.63484
References
Chien-Lih, Hwang. More Machin-type identities, The Mathematical Gazette 81, 120–121, 1997. [DOI: 10.2307/3618793]

HCL (26May95)(*1.78220, ΒΆΒΆ2.21724) (full reference coming soon)

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