M000156

$$\pi=25486576\arctan\left(\frac{1}{18975991}\right)+20970444\arctan\left(\frac{1}{22709274}\right)+25914536\arctan\left(\frac{1}{24185182}\right)-2594848\arctan\left(\frac{1}{24208144}\right)+6295184\arctan\left(\frac{1}{54610269}\right)-2476996\arctan\left(\frac{1}{63199427}\right)-17844312\arctan\left(\frac{1}{100656977}\right)-5429620\arctan\left(\frac{1}{115453918}\right)+11605360\arctan\left(\frac{1}{201229582}\right)+10627176\arctan\left(\frac{1}{909140573}\right)+5350072\arctan\left(\frac{2}{4532659739}\right)-19569300\arctan\left(\frac{2}{4949475989}\right)-16215120\arctan\left(\frac{2}{6223926959}\right)+7059144\arctan\left(\frac{1}{18986886768}\right)$$
Compact formula25486576[18975991] + 20970444[22709274] + 25914536[24185182] - 2594848[24208144] + 6295184[54610269] - 2476996[63199427] - 17844312[100656977] - 5429620[115453918] + 11605360[201229582] + 10627176[909140573] + 5350072[4532659739/2] - 19569300[4949475989/2] - 16215120[6223926959/2] + 7059144[18986886768]
Lehmer's measure1.69865
References
MRW (22Jan04)(ΒΆΒΆ1.85959) (full reference coming soon)