M000000396

$$\pi=16\arctan\left(\frac{1}{5}\right)-4\arctan\left(\frac{1}{70}\right)+4\arctan\left(\frac{1}{99}\right)$$

Compact formula	`16[5] - 4[70] + 4[99]`
Lehmer's measure	2.47374
References	Euler, Leonhard. De variis modis circuli quadraturam numeris proxime exprimendi, Commentarii academiae scientiarum Petropolitanae 9, 222–236, 1744. [Written in 1738. Republished in Opera omnia, I.14, 245-259.] Download references as BibTeΧ