M000000265

$$\pi=12621778600\arctan\left(\frac{1}{34648377057}\right)+30960141096\arctan\left(\frac{2}{86479075199}\right)+50414651216\arctan\left(\frac{2}{112899039159}\right)+31366005020\arctan\left(\frac{1}{71617196968}\right)+61614448540\arctan\left(\frac{1}{78535779057}\right)-70235945676\arctan\left(\frac{1}{102428655030}\right)+5574035540\arctan\left(\frac{1}{197877956739}\right)-17937523928\arctan\left(\frac{1}{225891903693}\right)+84220935900\arctan\left(\frac{1}{257792269818}\right)+68444678636\arctan\left(\frac{1}{283378114193}\right)-42252912812\arctan\left(\frac{1}{324363564309}\right)+75964176008\arctan\left(\frac{1}{344341500807}\right)-4365018708\arctan\left(\frac{2}{850356815335}\right)+31225659408\arctan\left(\frac{1}{469027618483}\right)-24544735620\arctan\left(\frac{1}{492806748932}\right)+14547679520\arctan\left(\frac{1}{821345641657}\right)-6511151788\arctan\left(\frac{1}{3737240479718}\right)+56235814592\arctan\left(\frac{1}{28148191112477}\right)+3319338608\arctan\left(\frac{1}{55707370528529}\right)-19301719956\arctan\left(\frac{1}{69971515635443}\right)-20858577740\arctan\left(\frac{1}{109805699900318}\right)+8324639744\arctan\left(\frac{1}{7474541196075273}\right)$$