Machin-like formulae
M000373
$$\pi=16\arctan\left(\frac{1}{5}\right)-4\arctan\left(\frac{1}{265}\right)-4\arctan\left(\frac{1}{2436}\right)$$
Compact formula
16[5] - 4[265] - 4[2436]
Lehmer's measure
2.13862
References
STØRMER (1896)
(full reference coming soon)