Does the anonymous inner class have a constructor that accepts an int attribute?
Yes.
The compiler automatically provides an anonymous constructor for the anonymous class.
A$1(int) { super(int); }
The type of each formal parameter of the anonymous constructor must be identical to the corresponding formal parameter of a constructor of the superclass.
The body of the anonymous constructor consists of super(...), where the actual arguments are the formal parameters of the anonymous constructor.
What's the process of instantiating an anonymous inner class instance?
new
Memory is allocated for the instance fields of the anonymous class and its superclasses and a reference to the new object is returned.
iconst_5
The arguments (5) of the expression new A(5){} are assigned to the anonymous constructor A1$(int) parameter variables.
invokespecial
The superclass constructor is invoked using super(int).
Further reading, JLS 15.9.5