M000000272

$$\pi=12621778600\arctan\left(\frac{1}{11986567107}\right)-4365018708\arctan\left(\frac{1}{32863722478}\right)+18338362496\arctan\left(\frac{2}{86479075199}\right)-25549524792\arctan\left(\frac{2}{112899039159}\right)+31366005020\arctan\left(\frac{1}{71617196968}\right)+53357688648\arctan\left(\frac{1}{78535779057}\right)+67707416116\arctan\left(\frac{1}{88795461697}\right)+81692406340\arctan\left(\frac{1}{102428655030}\right)-70390140468\arctan\left(\frac{1}{197877956739}\right)-22302542636\arctan\left(\frac{1}{225891903693}\right)-15776257264\arctan\left(\frac{1}{283378114193}\right)+33711263196\arctan\left(\frac{1}{324363564309}\right)-44738516600\arctan\left(\frac{1}{469027618483}\right)+55784459096\arctan\left(\frac{1}{492806748932}\right)-65781515196\arctan\left(\frac{1}{821345641657}\right)+69453024220\arctan\left(\frac{1}{3737240479718}\right)+80329194716\arctan\left(\frac{1}{3887225905412}\right)+47979054700\arctan\left(\frac{1}{28148191112477}\right)-77009856108\arctan\left(\frac{1}{55707370528529}\right)+61027474760\arctan\left(\frac{1}{69971515635443}\right)+55105598268\arctan\left(\frac{1}{109805699900318}\right)+84288815752\arctan\left(\frac{1}{7474541196075273}\right)$$