M000220

$$\pi=1338241020\arctan\left(\frac{1}{284862638}\right)-226662068\arctan\left(\frac{2}{604534317}\right)-498614448\arctan\left(\frac{1}{546365045}\right)-197419988\arctan\left(\frac{1}{909140573}\right)-482200946\arctan\left(\frac{1}{1304967682}\right)+788257334\arctan\left(\frac{1}{2189376182}\right)+589364100\arctan\left(\frac{2}{4532659739}\right)-151175058\arctan\left(\frac{1}{3261365450}\right)+181177650\arctan\left(\frac{2}{11352069609}\right)+661677140\arctan\left(\frac{1}{7427844818}\right)-349367476\arctan\left(\frac{1}{27354282288}\right)+386726182\arctan\left(\frac{2}{108928448489}\right)+138125026\arctan\left(\frac{1}{71617196968}\right)+716005060\arctan\left(\frac{1}{164432798314}\right)-648494728\arctan\left(\frac{2}{520629831511}\right)-28230342\arctan\left(\frac{1}{1197009532318}\right)+229232692\arctan\left(\frac{1}{4963640229982}\right)+755496530\arctan\left(\frac{1}{169838669284032}\right)$$
Compact formula1338241020[284862638] - 226662068[604534317/2] - 498614448[546365045] - 197419988[909140573] - 482200946[1304967682] + 788257334[2189376182] + 589364100[4532659739/2] - 151175058[3261365450] + 181177650[11352069609/2] + 661677140[7427844818] - 349367476[27354282288] + 386726182[108928448489/2] + 138125026[71617196968] + 716005060[164432798314] - 648494728[520629831511/2] - 28230342[1197009532318] + 229232692[4963640229982] + 755496530[169838669284032]
Lehmer's measure1.78454
References
MRW (11Aug06) (full reference coming soon)