M000003556
$$\pi=16\arctan\left(\frac{1}{5}\right)-4\arctan\left(\frac{1}{9}\right)+8\arctan\left(\frac{1}{12}\right)+16\arctan\left(\frac{1}{21}\right)-4\arctan\left(\frac{1}{32}\right)-16\arctan\left(\frac{1}{34}\right)-16\arctan\left(\frac{1}{55}\right)-8\arctan\left(\frac{1}{70}\right)$$