M000164

$$\pi=68\arctan\left(\frac{1}{23}\right)+32\arctan\left(\frac{1}{182}\right)+40\arctan\left(\frac{1}{5118}\right)+20\arctan\left(\frac{1}{6072}\right)$$
Compact formula68[23] + 32[182] + 40[5118] + 20[6072]
Lehmer's measure1.71074
References
ARNDT (1993) (full reference coming soon)