M000000267

$$\pi=21558482172\arctan\left(\frac{1}{12957904393}\right)+22646215076\arctan\left(\frac{2}{36523075989}\right)-13016215096\arctan\left(\frac{1}{18710140581}\right)+4369264856\arctan\left(\frac{1}{29546599818}\right)+4392577892\arctan\left(\frac{1}{42354792693}\right)+17536942184\arctan\left(\frac{1}{43280087768}\right)+14543837840\arctan\left(\frac{2}{112899039159}\right)-3282161352\arctan\left(\frac{1}{89257170067}\right)+14718251196\arctan\left(\frac{1}{193271326807}\right)+383171932\arctan\left(\frac{1}{265542904947}\right)-3437035344\arctan\left(\frac{1}{324363564309}\right)-435462052\arctan\left(\frac{1}{378137211957}\right)-5293197832\arctan\left(\frac{1}{579766497643}\right)-1222866012\arctan\left(\frac{1}{1727249238923}\right)-2333903420\arctan\left(\frac{1}{3737240479718}\right)+9302439992\arctan\left(\frac{1}{8256835333313}\right)-3319338608\arctan\left(\frac{1}{10041983931693}\right)-15262256380\arctan\left(\frac{1}{11830545643782}\right)+24988082436\arctan\left(\frac{1}{46150510628682}\right)+24022562704\arctan\left(\frac{1}{69971515635443}\right)+18640694976\arctan\left(\frac{1}{7474541196075273}\right)-8098535556\arctan\left(\frac{1}{24412992821228897}\right)$$