After taking a look at the definition of defun in byte-run.el, it seems that the macro does some very interesting things regarding checking for the existence of a docstring.
First, it uses a declare form to indicate that the third argument to the defun is the docstring. It then checks whether the third argument is a string (which means it's a docstring), or actually a declare form (which means there is no docstring).
If I understand correctly, this allows the user of a defun to specify a docstring or to it out altogether.
Is this use of an optional argument considered unusual? Usually, for a function (foo a b &optional c d &rest rest), we'd enter a nil for c if we wanted to specify d but not c. I haven't seen other examples of arguments that can simply be "left out" like the docstring.