M000000263

$$\pi=12621778600\arctan\left(\frac{2}{10355370165}\right)+35558664212\arctan\left(\frac{2}{86479075199}\right)-17292764900\arctan\left(\frac{2}{112899039159}\right)-23719632496\arctan\left(\frac{1}{71617196968}\right)+25477061608\arctan\left(\frac{1}{73052066693}\right)+28114131448\arctan\left(\frac{1}{78535779057}\right)-28478868692\arctan\left(\frac{1}{102428655030}\right)+9939054248\arctan\left(\frac{1}{197877956739}\right)-5315745328\arctan\left(\frac{1}{225891903693}\right)-3154478664\arctan\left(\frac{1}{283378114193}\right)+8467705996\arctan\left(\frac{1}{324363564309}\right)+35824182524\arctan\left(\frac{1}{469027618483}\right)-11922957020\arctan\left(\frac{1}{492806748932}\right)-4365018708\arctan\left(\frac{1}{757744781467}\right)+1925900920\arctan\left(\frac{1}{821345641657}\right)+1745608104\arctan\left(\frac{1}{3737240479718}\right)-29842080316\arctan\left(\frac{1}{24527847221977}\right)+22735497500\arctan\left(\frac{1}{28148191112477}\right)+3319338608\arctan\left(\frac{1}{55707370528529}\right)-6679941356\arctan\left(\frac{1}{69971515635443}\right)-12601817848\arctan\left(\frac{1}{109805699900318}\right)+3959621036\arctan\left(\frac{1}{7474541196075273}\right)$$