The West Stable in the White Tower is a three story stone gray structure. In front of the the structure there is a paved stable yard. The path that leads to the West Stable is on the same side of the Tower as the Accepted's quarters.
In 978 NE, all of the Tower's Accepted rush to the stable when they are allowed to leave Tar Valon for the census just after the Aiel War. The census is a cover in order to find the identity of the Dragon Reborn.