M000000350

$$\pi=13786448189028\arctan\left(\frac{2}{17183229925989}\right)+6823574864300\arctan\left(\frac{1}{10546511281730}\right)+12929849850028\arctan\left(\frac{1}{11244667034168}\right)-2508850296128\arctan\left(\frac{2}{23780027088431}\right)+6576582455046\arctan\left(\frac{1}{13502703082318}\right)-1262083928172\arctan\left(\frac{1}{15420002333757}\right)-4863784252872\arctan\left(\frac{1}{15962244871097}\right)+460553845570\arctan\left(\frac{1}{16904505028627}\right)+7933341153970\arctan\left(\frac{1}{24405694099301}\right)-140768585516\arctan\left(\frac{1}{33308851938318}\right)-14288182891022\arctan\left(\frac{1}{35799989948887}\right)-2814739685430\arctan\left(\frac{1}{41887379804066}\right)+2140285046394\arctan\left(\frac{1}{42859110883727}\right)+909816387054\arctan\left(\frac{1}{62174834977445}\right)+1471430327066\arctan\left(\frac{1}{68965373220440}\right)+1183652406494\arctan\left(\frac{1}{69971515635443}\right)-10161797458260\arctan\left(\frac{1}{74230400727943}\right)+3854231404012\arctan\left(\frac{1}{94465125845354}\right)+1400744325434\arctan\left(\frac{1}{211773236092865}\right)+5857776706922\arctan\left(\frac{1}{240926005152903}\right)-4989077745018\arctan\left(\frac{1}{258213230677943}\right)-2750206269076\arctan\left(\frac{1}{320714306992682}\right)-15934231047738\arctan\left(\frac{1}{370392816588001}\right)-3029585092880\arctan\left(\frac{1}{581164002419357}\right)-12232747070208\arctan\left(\frac{1}{758341235653128}\right)+9821219927188\arctan\left(\frac{1}{830202489183166}\right)+6308319836712\arctan\left(\frac{1}{961550693718259}\right)+4171791446848\arctan\left(\frac{1}{1421149505569643}\right)+2994657070372\arctan\left(\frac{1}{1427056404016693}\right)$$