M000483

$$\pi=93628\arctan\left(\frac{1}{44179}\right)+24224\arctan\left(\frac{1}{85353}\right)+81852\arctan\left(\frac{1}{114669}\right)-9628\arctan\left(\frac{1}{129553}\right)+43832\arctan\left(\frac{1}{330182}\right)-15388\arctan\left(\frac{1}{485298}\right)+1592\arctan\left(\frac{1}{780262}\right)-17428\arctan\left(\frac{1}{4218932}\right)-47268\arctan\left(\frac{1}{5982670}\right)+75916\arctan\left(\frac{1}{9548768}\right)$$
Compact formula93628[44179] + 24224[85353] + 81852[114669] - 9628[129553] + 43832[330182] - 15388[485298] + 1592[780262] - 17428[4218932] - 47268[5982670] + 75916[9548768]
Lehmer's measure1.77986
References
Chien-Lih, Hwang. More Machin-type identities, The Mathematical Gazette 81, 120–121, 1997. [DOI: 10.2307/3618793]