M000000264

$$\pi=12621778600\arctan\left(\frac{2}{10355370165}\right)-21112042900\arctan\left(\frac{1}{41503645877}\right)+31193645504\arctan\left(\frac{2}{86479075199}\right)+12549315416\arctan\left(\frac{2}{112899039159}\right)+1757429112\arctan\left(\frac{1}{71617196968}\right)+19384094032\arctan\left(\frac{1}{78535779057}\right)-3001807084\arctan\left(\frac{1}{102428655030}\right)+9939054248\arctan\left(\frac{1}{197877956739}\right)-5315745328\arctan\left(\frac{1}{225891903693}\right)+1210540044\arctan\left(\frac{1}{283378114193}\right)+8467705996\arctan\left(\frac{1}{324363564309}\right)+5982102208\arctan\left(\frac{1}{469027618483}\right)-7557938312\arctan\left(\frac{1}{492806748932}\right)-19186141980\arctan\left(\frac{1}{821345641657}\right)-16747024192\arctan\left(\frac{1}{2865230276307}\right)+1745608104\arctan\left(\frac{1}{3737240479718}\right)+4365018708\arctan\left(\frac{1}{9710533092723}\right)+18370478792\arctan\left(\frac{1}{28148191112477}\right)+3319338608\arctan\left(\frac{1}{55707370528529}\right)-2314922648\arctan\left(\frac{1}{69971515635443}\right)-12601817848\arctan\left(\frac{1}{109805699900318}\right)+8324639744\arctan\left(\frac{1}{7474541196075273}\right)$$