M000000268

$$\pi=12621778600\arctan\left(\frac{2}{10355370165}\right)-4365018708\arctan\left(\frac{1}{32863722478}\right)+16914334124\arctan\left(\frac{2}{112899039159}\right)+5716583896\arctan\left(\frac{1}{62143967598}\right)+6122447820\arctan\left(\frac{1}{71617196968}\right)+29477343072\arctan\left(\frac{1}{102428655030}\right)+35558664212\arctan\left(\frac{1}{142140039332}\right)-19903026068\arctan\left(\frac{1}{197877956739}\right)-1727948868\arctan\left(\frac{1}{208666916697}\right)-9680764036\arctan\left(\frac{1}{225891903693}\right)-31268610112\arctan\left(\frac{1}{283378114193}\right)+8467705996\arctan\left(\frac{1}{324363564309}\right)+10347120916\arctan\left(\frac{1}{469027618483}\right)+16191174428\arctan\left(\frac{1}{492806748932}\right)+1925900920\arctan\left(\frac{1}{821345641657}\right)+3473556972\arctan\left(\frac{1}{3737240479718}\right)-5378633948\arctan\left(\frac{1}{28148191112477}\right)-28114131448\arctan\left(\frac{1}{29676519680807}\right)+3319338608\arctan\left(\frac{1}{55707370528529}\right)+21434190092\arctan\left(\frac{1}{69971515635443}\right)+17240262468\arctan\left(\frac{1}{109805699900318}\right)+33801701352\arctan\left(\frac{1}{7474541196075273}\right)$$