M000000359

$$\pi=166147307667904\arctan\left(\frac{1}{13502703082318}\right)+322066780352996\arctan\left(\frac{2}{27090218802849}\right)+234302350298920\arctan\left(\frac{1}{14483848717682}\right)-373191151146916\arctan\left(\frac{1}{15962244871097}\right)-613569546979176\arctan\left(\frac{1}{20293776947868}\right)-66232223768952\arctan\left(\frac{2}{56365016607239}\right)+165943306068720\arctan\left(\frac{1}{33308851938318}\right)+34297060216040\arctan\left(\frac{1}{41887379804066}\right)+24677469627072\arctan\left(\frac{1}{69971515635443}\right)+70458777079228\arctan\left(\frac{1}{83979525486773}\right)-232551348318144\arctan\left(\frac{1}{127528611030443}\right)-77519901204728\arctan\left(\frac{1}{158682175700807}\right)+204780726362856\arctan\left(\frac{1}{187458398552950}\right)-163475135282388\arctan\left(\frac{1}{187530264407868}\right)+250024930688568\arctan\left(\frac{1}{211773236092865}\right)+571875940967744\arctan\left(\frac{1}{240926005152903}\right)-336281184078800\arctan\left(\frac{1}{258213230677943}\right)+63635202214928\arctan\left(\frac{1}{317335434728073}\right)+80733105003724\arctan\left(\frac{1}{370392816588001}\right)-182651649766756\arctan\left(\frac{1}{594966589999007}\right)-12607377057392\arctan\left(\frac{1}{758341235653128}\right)+86057928513508\arctan\left(\frac{1}{830202489183166}\right)-209265831971324\arctan\left(\frac{1}{921495991549822}\right)-263272224304244\arctan\left(\frac{1}{1115136913905711}\right)-164322042711240\arctan\left(\frac{1}{1143900177872158}\right)+188138367083152\arctan\left(\frac{1}{1427056404016693}\right)+84857404516640\arctan\left(\frac{1}{2270451385422943}\right)-249247272900216\arctan\left(\frac{1}{4204987898062723}\right)-74417821699756\arctan\left(\frac{1}{6805164953551432}\right)+54006392332920\arctan\left(\frac{2}{34933376538589481}\right)$$