In C the proper name for the allocation type is automatic. In computing jargon the term stack is sometimes used synonymously.
The storage of a is valid from the point of definition int a[n]; up until the end of the enclosing scope (i.e. the end of the current function, or earlier).
It is just the same as int a[50]; , except that a different number of ints than 50 may be allocated.
A drawback of using automatic arrays (with or without runtime sizes) is that there is no portable way to protect against stack overflow. (Actually, stack overflow from automatic variables is something the C standard does not address at all, but it is a real problem in practice).
If you were to use dynamic allocation (i.e. malloc and friends) then it will let you know if there is insufficient memory by returning NULL, whereas stack overflows are nasty.