M000030

$$\pi=508\arctan\left(\frac{1}{239}\right)+512\arctan\left(\frac{1}{515}\right)+240\arctan\left(\frac{1}{11379}\right)+112\arctan\left(\frac{2}{81487}\right)-336\arctan\left(\frac{1}{173932}\right)-240\arctan\left(\frac{1}{3819719818}\right)$$
Compact formula508[239] + 512[515] + 240[11379] + 112[81487/2] - 336[173932] - 240[3819719818]
Lehmer's measure1.54785
References
ASN (2007-8)(*1.59986) (full reference coming soon)