M000292

$$\pi=-118202358160\arctan\left(\frac{2}{112899039159}\right)+85193553324\arctan\left(\frac{2}{172946705261}\right)+82673645356\arctan\left(\frac{1}{102428655030}\right)+333910414900\arctan\left(\frac{1}{138873731225}\right)-98810986512\arctan\left(\frac{1}{201054544712}\right)+120737023192\arctan\left(\frac{1}{261002206018}\right)+89285364716\arctan\left(\frac{1}{343123176943}\right)-264335777908\arctan\left(\frac{1}{649968883117}\right)+553238539568\arctan\left(\frac{1}{656902304557}\right)-116252272320\arctan\left(\frac{1}{980557665862}\right)-117721645760\arctan\left(\frac{1}{1372432573478}\right)+322823992484\arctan\left(\frac{1}{1374662101743}\right)+169070170404\arctan\left(\frac{1}{1622274975907}\right)+105197889476\arctan\left(\frac{1}{2710120765097}\right)+646676590604\arctan\left(\frac{1}{3761284561432}\right)+54384474224\arctan\left(\frac{2}{13078246979509}\right)-239859547988\arctan\left(\frac{1}{17780261434697}\right)+246894492100\arctan\left(\frac{2}{37911976165961}\right)+378679987080\arctan\left(\frac{1}{38759264489343}\right)+491328514096\arctan\left(\frac{1}{69971515635443}\right)+418133705980\arctan\left(\frac{1}{169838669284032}\right)-367068570364\arctan\left(\frac{1}{772654028018543}\right)-257556276220\arctan\left(\frac{1}{1948025182233307}\right)-161391012480\arctan\left(\frac{1}{7411710404595173}\right)$$
Compact formula- 118202358160[112899039159/2] + 85193553324[172946705261/2] + 82673645356[102428655030] + 333910414900[138873731225] - 98810986512[201054544712] + 120737023192[261002206018] + 89285364716[343123176943] - 264335777908[649968883117] + 553238539568[656902304557] - 116252272320[980557665862] - 117721645760[1372432573478] + 322823992484[1374662101743] + 169070170404[1622274975907] + 105197889476[2710120765097] + 646676590604[3761284561432] + 54384474224[13078246979509/2] - 239859547988[17780261434697] + 246894492100[37911976165961/2] + 378679987080[38759264489343] + 491328514096[69971515635443] + 418133705980[169838669284032] - 367068570364[772654028018543] - 257556276220[1948025182233307] - 161391012480[7411710404595173]
Lehmer's measure1.92754
References
MRW (8Aug06 - corrected 5Aug13) (full reference coming soon)