M000026

$$\pi=332\arctan\left(\frac{1}{107}\right)+68\arctan\left(\frac{1}{4443}\right)+272\arctan\left(\frac{1}{11343}\right)-20\arctan\left(\frac{1}{110443}\right)-136\arctan\left(\frac{1}{595667}\right)+20\arctan\left(\frac{1}{4841182}\right)$$
Compact formula332[107] + 68[4443] + 272[11343] - 20[110443] - 136[595667] + 20[4841182]
Lehmer's measure1.53457
References
Chien-Lih, Hwang. More Machin-type identities, The Mathematical Gazette 81, 120–121, 1997. [DOI: 10.2307/3618793]

MRW (09Jul95) (full reference coming soon)