Can this ‘function’, similar to a factorial but divides numbers instead, be useful?

Question

$n!$ is where n is multiplied in this format:

$n•(n-1)•(n-2)•\ldots1$.

It has many uses and so in this way, would this ‘function’:

$n/(n-1)/(n-2)/\ldots/1$,

have an actual use in mathematics?