diff --git a/pandas/core/accessor.py b/pandas/core/accessor.py
index 99b5053ce250c..aa2bf2f527bd8 100644
--- a/pandas/core/accessor.py
+++ b/pandas/core/accessor.py
@@ -231,7 +231,7 @@ def __get__(self, obj, cls):
         return accessor_obj
 
 
-@doc(klass="", others="")
+@doc(klass="", examples="", others="")
 def _register_accessor(name: str, cls):
     """
     Register a custom accessor on {klass} objects.
@@ -255,51 +255,26 @@ def _register_accessor(name: str, cls):
 
     Notes
     -----
-    When accessed, your accessor will be initialized with the pandas object
-    the user is interacting with. So the signature must be
+    This function allows you to register a custom-defined accessor class for {klass}.
+    The requirements for the accessor class are as follows:
 
-    .. code-block:: python
+    * Must contain an init method that:
 
-        def __init__(self, pandas_object):  # noqa: E999
-            ...
+      * accepts a single {klass} object
 
-    For consistency with pandas methods, you should raise an ``AttributeError``
-    if the data passed to your accessor has an incorrect dtype.
+      * raises an AttributeError if the {klass} object does not have correctly
+        matching inputs for the accessor
 
-    >>> pd.Series(["a", "b"]).dt
-    Traceback (most recent call last):
-    ...
-    AttributeError: Can only use .dt accessor with datetimelike values
+    * Must contain a method for each access pattern.
 
-    Examples
-    --------
-    In your library code::
-
-        @pd.api.extensions.register_dataframe_accessor("geo")
-        class GeoAccessor:
-            def __init__(self, pandas_obj):
-                self._obj = pandas_obj
-
-            @property
-            def center(self):
-                # return the geographic center point of this DataFrame
-                lat = self._obj.latitude
-                lon = self._obj.longitude
-                return (float(lon.mean()), float(lat.mean()))
+      * The methods should be able to take any argument signature.
 
-            def plot(self):
-                # plot this array's data on a map, e.g., using Cartopy
-                pass
+      * Accessible using the @property decorator if no additional arguments are
+        needed.
 
-    Back in an interactive IPython session:
-
-        .. code-block:: ipython
-
-            In [1]: ds = pd.DataFrame({{"longitude": np.linspace(0, 10),
-               ...:                    "latitude": np.linspace(0, 20)}})
-            In [2]: ds.geo.center
-            Out[2]: (5.0, 10.0)
-            In [3]: ds.geo.plot()  # plots data on a map
+    Examples
+    --------
+    {examples}
     """
 
     def decorator(accessor):
@@ -318,21 +293,98 @@ def decorator(accessor):
     return decorator
 
 
-@doc(_register_accessor, klass="DataFrame")
+_register_df_examples = """
+An accessor that only accepts integers could
+have a class defined like this:
+
+>>> @pd.api.extensions.register_dataframe_accessor("int_accessor")
+... class IntAccessor:
+...     def __init__(self, pandas_obj):
+...         if not all(pandas_obj[col].dtype == 'int64' for col in pandas_obj.columns):
+...             raise AttributeError("All columns must contain integer values only")
+...         self._obj = pandas_obj
+...
+...     def sum(self):
+...         return self._obj.sum()
+...
+>>> df = pd.DataFrame([[1, 2], ['x', 'y']])
+>>> df.int_accessor
+Traceback (most recent call last):
+...
+AttributeError: All columns must contain integer values only.
+>>> df = pd.DataFrame([[1, 2], [3, 4]])
+>>> df.int_accessor.sum()
+0    4
+1    6
+dtype: int64"""
+
+
+@doc(_register_accessor, klass="DataFrame", examples=_register_df_examples)
 def register_dataframe_accessor(name: str):
     from pandas import DataFrame
 
     return _register_accessor(name, DataFrame)
 
 
-@doc(_register_accessor, klass="Series")
+_register_series_examples = """
+An accessor that only accepts integers could
+have a class defined like this:
+
+>>> @pd.api.extensions.register_series_accessor("int_accessor")
+... class IntAccessor:
+...     def __init__(self, pandas_obj):
+...         if not pandas_obj.dtype == 'int64':
+...             raise AttributeError("The series must contain integer data only")
+...         self._obj = pandas_obj
+...
+...     def sum(self):
+...         return self._obj.sum()
+...
+>>> df = pd.Series([1, 2, 'x'])
+>>> df.int_accessor
+Traceback (most recent call last):
+...
+AttributeError: The series must contain integer data only.
+>>> df = pd.Series([1, 2, 3])
+>>> df.int_accessor.sum()
+6"""
+
+
+@doc(_register_accessor, klass="Series", examples=_register_series_examples)
 def register_series_accessor(name: str):
     from pandas import Series
 
     return _register_accessor(name, Series)
 
 
-@doc(_register_accessor, klass="Index")
+_register_index_examples = """
+An accessor that only accepts integers could
+have a class defined like this:
+
+>>> @pd.api.extensions.register_index_accessor("int_accessor")
+... class IntAccessor:
+...     def __init__(self, pandas_obj):
+...         if not all(isinstance(x, int) for x in pandas_obj):
+...             raise AttributeError("The index must only be an integer value")
+...         self._obj = pandas_obj
+...
+...     def even(self):
+...         return [x for x in self._obj if x % 2 == 0]
+>>> df = pd.DataFrame.from_dict(
+...     {"row1": {"1": 1, "2": "a"}, "row2": {"1": 2, "2": "b"}}, orient="index"
+... )
+>>> df.index.int_accessor
+Traceback (most recent call last):
+...
+AttributeError: The index must only be an integer value.
+>>> df = pd.DataFrame(
+...     {"col1": [1, 2, 3, 4], "col2": ["a", "b", "c", "d"]}, index=[1, 2, 5, 8]
+... )
+>>> df.index.int_accessor.even()
+[2, 8]"""
+
+
+@doc(_register_accessor, klass="Index", examples=_register_index_examples)
 def register_index_accessor(name: str):
     from pandas import Index