M000044

$$\pi=2324\arctan\left(\frac{1}{1023}\right)+732\arctan\left(\frac{1}{5593}\right)+4120\arctan\left(\frac{1}{5832}\right)+1464\arctan\left(\frac{1}{58898}\right)+780\arctan\left(\frac{1}{110443}\right)+2148\arctan\left(\frac{1}{4841182}\right)+1064\arctan\left(\frac{1}{6826318}\right)$$
Compact formula2324[1023] + 732[5593] + 4120[5832] + 1464[58898] + 780[110443] + 2148[4841182] + 1064[6826318]
Lehmer's measure1.56846
References
MRW (06Dec94)(*1.55905, ¢¢1.98891, ¢¢2.33275) (full reference coming soon)