M000198

$$\pi=58429812\arctan\left(\frac{1}{101545101}\right)+137352596\arctan\left(\frac{2}{322564791}\right)+230870272\arctan\left(\frac{1}{201229582}\right)+214438672\arctan\left(\frac{1}{284862638}\right)-113822288\arctan\left(\frac{1}{546365045}\right)-31164184\arctan\left(\frac{1}{1514342682}\right)-89070164\arctan\left(\frac{2}{4204410541}\right)+130724516\arctan\left(\frac{2}{11352069609}\right)+257958916\arctan\left(\frac{1}{6421564557}\right)+50275208\arctan\left(\frac{1}{7427844818}\right)+166727340\arctan\left(\frac{1}{7959681215}\right)-29002772\arctan\left(\frac{1}{26568385532}\right)+42052804\arctan\left(\frac{2}{75525552427}\right)-267022124\arctan\left(\frac{2}{108928448489}\right)-87856852\arctan\left(\frac{1}{343925859568}\right)-13149596\arctan\left(\frac{2}{1087840667761}\right)-85623948\arctan\left(\frac{1}{169838669284032}\right)$$
Compact formula58429812[101545101] + 137352596[322564791/2] + 230870272[201229582] + 214438672[284862638] - 113822288[546365045] - 31164184[1514342682] - 89070164[4204410541/2] + 130724516[11352069609/2] + 257958916[6421564557] + 50275208[7427844818] + 166727340[7959681215] - 29002772[26568385532] + 42052804[75525552427/2] - 267022124[108928448489/2] - 87856852[343925859568] - 13149596[1087840667761/2] - 85623948[169838669284032]
Lehmer's measure1.74866
References
ASN (6Jul12)(ΒΆΒΆ1.88600) (full reference coming soon)