M000345

$$\pi=21129264168664\arctan\left(\frac{2}{17183229925989}\right)+6823574864300\arctan\left(\frac{1}{10546511281730}\right)-16504518845836\arctan\left(\frac{1}{11244667034168}\right)+5844842165004\arctan\left(\frac{2}{23780027088431}\right)+14379952280252\arctan\left(\frac{1}{13502703082318}\right)-5410831807000\arctan\left(\frac{2}{28456536638489}\right)+19818592306560\arctan\left(\frac{1}{15420002333757}\right)-15059692096284\arctan\left(\frac{1}{15962244871097}\right)+921107691140\arctan\left(\frac{2}{33377023452861}\right)+8393894999540\arctan\left(\frac{1}{24405694099301}\right)+7202047394120\arctan\left(\frac{1}{33308851938318}\right)-13647694603516\arctan\left(\frac{1}{41887379804066}\right)-6673961260308\arctan\left(\frac{1}{42859110883727}\right)+8987022231700\arctan\left(\frac{1}{69971515635443}\right)-10161797458260\arctan\left(\frac{1}{74230400727943}\right)-522104260064\arctan\left(\frac{1}{94465125845354}\right)-15759613218088\arctan\left(\frac{1}{158682175700807}\right)-3887588006700\arctan\left(\frac{1}{187458398552950}\right)+6414127064184\arctan\left(\frac{1}{211773236092865}\right)+6318330552492\arctan\left(\frac{1}{240926005152903}\right)-6460508072084\arctan\left(\frac{1}{258213230677943}\right)-8074313637328\arctan\left(\frac{1}{320714306992682}\right)-5596740940736\arctan\left(\frac{1}{370392816588001}\right)-7856411406132\arctan\left(\frac{1}{758341235653128}\right)+546419774916\arctan\left(\frac{1}{830202489183166}\right)+16925439233484\arctan\left(\frac{1}{1421149505569643}\right)-13622959061536\arctan\left(\frac{1}{1427056404016693}\right)+4961569265516\arctan\left(\frac{1}{2270451385422943}\right)-3392123195616\arctan\left(\frac{1}{4204987898062723}\right)$$