M000000347

$$\pi=\frac{22885620989420}{3}\arctan\left(\frac{1}{12502765871656}\right)+17060523154052\arctan\left(\frac{1}{13502703082318}\right)+\frac{1112648249698}{3}\arctan\left(\frac{1}{15962244871097}\right)+\frac{27668040153896}{3}\arctan\left(\frac{1}{20293776947868}\right)+6950683048336\arctan\left(\frac{2}{56823139867939}\right)+6129614043410\arctan\left(\frac{1}{33308851938318}\right)+\frac{11491686434362}{3}\arctan\left(\frac{1}{41887379804066}\right)+3420607540852\arctan\left(\frac{1}{42512655792373}\right)+\frac{13896675754880}{3}\arctan\left(\frac{1}{69971515635443}\right)+\frac{39561672581402}{3}\arctan\left(\frac{1}{83979525486773}\right)-2114856084530\arctan\left(\frac{1}{109386512159826}\right)-1669605560076\arctan\left(\frac{1}{127528611030443}\right)+3053010084786\arctan\left(\frac{1}{158682175700807}\right)-8146548865546\arctan\left(\frac{1}{187458398552950}\right)+10531136503572\arctan\left(\frac{1}{211773236092865}\right)-3669704168540\arctan\left(\frac{1}{240926005152903}\right)\frac{-14343856967318}{3}\arctan\left(\frac{1}{258213230677943}\right)+\frac{8822225790010}{3}\arctan\left(\frac{1}{317335434728073}\right)-1061853240492\arctan\left(\frac{1}{370392816588001}\right)+\frac{43059374235382}{3}\arctan\left(\frac{1}{758341235653128}\right)-572856694514\arctan\left(\frac{1}{830202489183166}\right)+1220285407704\arctan\left(\frac{1}{1143900177872158}\right)\frac{-41678722212872}{3}\arctan\left(\frac{1}{1427056404016693}\right)-4165113745784\arctan\left(\frac{1}{2270451385422943}\right)-363399364508\arctan\left(\frac{1}{4204987898062723}\right)\frac{-40809976137236}{3}\arctan\left(\frac{1}{4475336554336643}\right)\frac{-31120771343500}{3}\arctan\left(\frac{1}{5364838594036907}\right)+\frac{19219480125314}{3}\arctan\left(\frac{1}{5407789116841693}\right)-13166303813834\arctan\left(\frac{1}{6559960445784918}\right)\frac{-23139452232892}{3}\arctan\left(\frac{1}{6805164953551432}\right)$$