M000145

$$\pi=2476996\arctan\left(\frac{1}{1059193}\right)+117852\arctan\left(\frac{2}{5336461}\right)+1401144\arctan\left(\frac{1}{3449051}\right)+3070476\arctan\left(\frac{2}{16840821}\right)-555712\arctan\left(\frac{1}{18975991}\right)-245604\arctan\left(\frac{1}{24185182}\right)-177804\arctan\left(\frac{1}{54610269}\right)+1842840\arctan\left(\frac{1}{100656977}\right)+2655376\arctan\left(\frac{1}{201229582}\right)-1035508\arctan\left(\frac{1}{909140573}\right)+278228\arctan\left(\frac{2}{4532659739}\right)+877184\arctan\left(\frac{2}{6223926959}\right)-2008692\arctan\left(\frac{1}{18986886768}\right)$$
Compact formula2476996[1059193] + 117852[5336461/2] + 1401144[3449051] + 3070476[16840821/2] - 555712[18975991] - 245604[24185182] - 177804[54610269] + 1842840[100656977] + 2655376[201229582] - 1035508[909140573] + 278228[4532659739/2] + 877184[6223926959/2] - 2008692[18986886768]
Lehmer's measure1.68755
References
ASN (26Feb10)(ΒΆΒΆ1.89351) (full reference coming soon)