M000298

$$\pi=-1950085840\arctan\left(\frac{2}{112899039159}\right)-238093027136\arctan\left(\frac{1}{100287465513}\right)-92839355812\arctan\left(\frac{1}{102428655030}\right)+41046928768\arctan\left(\frac{1}{120563046313}\right)+179604812560\arctan\left(\frac{1}{121409547033}\right)+294050230940\arctan\left(\frac{1}{138873731225}\right)-30748792700\arctan\left(\frac{1}{202954204459}\right)+255203095592\arctan\left(\frac{1}{261002206018}\right)+85193553324\arctan\left(\frac{1}{269007136889}\right)+85503479620\arctan\left(\frac{1}{548275361132}\right)+575958381576\arctan\left(\frac{1}{656902304557}\right)+174043627728\arctan\left(\frac{1}{1372432573478}\right)+365806342476\arctan\left(\frac{1}{1622274975907}\right)+20004336152\arctan\left(\frac{1}{2710120765097}\right)-110870286436\arctan\left(\frac{1}{3761284561432}\right)+112872688800\arctan\left(\frac{2}{13078246979509}\right)-90009521548\arctan\left(\frac{1}{10892900268195}\right)-155128582640\arctan\left(\frac{1}{17780261434697}\right)+311080381244\arctan\left(\frac{1}{38759264489343}\right)+275955328968\arctan\left(\frac{1}{69971515635443}\right)+293079968696\arctan\left(\frac{1}{169838669284032}\right)-268720171828\arctan\left(\frac{1}{772654028018543}\right)-172825310872\arctan\left(\frac{1}{1948025182233307}\right)-238093027136\arctan\left(\frac{1}{48852701760435254323}\right)$$
Compact formula- 1950085840[112899039159/2] - 238093027136[100287465513] - 92839355812[102428655030] + 41046928768[120563046313] + 179604812560[121409547033] + 294050230940[138873731225] - 30748792700[202954204459] + 255203095592[261002206018] + 85193553324[269007136889] + 85503479620[548275361132] + 575958381576[656902304557] + 174043627728[1372432573478] + 365806342476[1622274975907] + 20004336152[2710120765097] - 110870286436[3761284561432] + 112872688800[13078246979509/2] - 90009521548[10892900268195] - 155128582640[17780261434697] + 311080381244[38759264489343] + 275955328968[69971515635443] + 293079968696[169838669284032] - 268720171828[772654028018543] - 172825310872[1948025182233307] - 238093027136[48852701760435254323]
Lehmer's measure1.93216
References
ASN (21Jun11)(*1.96569) (full reference coming soon)