M000000252

$$\pi=4751996876\arctan\left(\frac{1}{2406126693}\right)-1798771112\arctan\left(\frac{1}{3024600267}\right)+5993108680\arctan\left(\frac{1}{4038832337}\right)+117720844\arctan\left(\frac{1}{6608082112}\right)+599437000\arctan\left(\frac{1}{12139595709}\right)+1811902136\arctan\left(\frac{1}{20112174818}\right)+889068008\arctan\left(\frac{2}{47029703269}\right)-1112834172\arctan\left(\frac{1}{29546599818}\right)-3454533200\arctan\left(\frac{2}{63770783801}\right)+7593742184\arctan\left(\frac{1}{35217386577}\right)+1752906536\arctan\left(\frac{2}{112899039159}\right)-1050901960\arctan\left(\frac{1}{120563046313}\right)+2145262564\arctan\left(\frac{1}{215644443543}\right)-5836117916\arctan\left(\frac{1}{265542904947}\right)+1495301284\arctan\left(\frac{1}{378137211957}\right)-3860797520\arctan\left(\frac{1}{3737240479718}\right)-1825971184\arctan\left(\frac{1}{6494737887682}\right)-3530523240\arctan\left(\frac{2}{16784619514521}\right)+2969427996\arctan\left(\frac{1}{11830545643782}\right)-2069272524\arctan\left(\frac{1}{210894042529419}\right)$$