M000212

$$\pi=661770768\arctan\left(\frac{1}{295806685}\right)+323664420\arctan\left(\frac{1}{575512868}\right)+358186016\arctan\left(\frac{1}{2309197818}\right)-38302876\arctan\left(\frac{2}{4949475989}\right)+521253004\arctan\left(\frac{1}{2674664693}\right)-86356272\arctan\left(\frac{1}{2701984943}\right)+279427416\arctan\left(\frac{1}{4117799011}\right)-83386620\arctan\left(\frac{1}{8818809606}\right)-192758332\arctan\left(\frac{1}{8964659780}\right)+181055380\arctan\left(\frac{2}{19255151581}\right)-873709576\arctan\left(\frac{1}{10069383693}\right)+467841432\arctan\left(\frac{1}{14033378718}\right)+430877248\arctan\left(\frac{1}{14722389557}\right)+363914524\arctan\left(\frac{1}{48794637562}\right)+56330148\arctan\left(\frac{1}{219231737743}\right)+60253300\arctan\left(\frac{2}{760662038919}\right)+248534076\arctan\left(\frac{2}{10162014009261}\right)+108543132\arctan\left(\frac{1}{74796038391693}\right)$$
Compact formula661770768[295806685] + 323664420[575512868] + 358186016[2309197818] - 38302876[4949475989/2] + 521253004[2674664693] - 86356272[2701984943] + 279427416[4117799011] - 83386620[8818809606] - 192758332[8964659780] + 181055380[19255151581/2] - 873709576[10069383693] + 467841432[14033378718] + 430877248[14722389557] + 363914524[48794637562] + 56330148[219231737743] + 60253300[760662038919/2] + 248534076[10162014009261/2] + 108543132[74796038391693]
Lehmer's measure1.77849
References
ASN (27Feb10)(ΒΆΒΆ1.91244) (full reference coming soon)