diff --git a/docs/agents.md b/docs/agents.md
index 7bb13a864f..351254c248 100644
--- a/docs/agents.md
+++ b/docs/agents.md
@@ -121,6 +121,12 @@ async def main():
     print(nodes)
     """
     [
+        UserPromptNode(
+            user_prompt='What is the capital of France?',
+            system_prompts=(),
+            system_prompt_functions=[],
+            system_prompt_dynamic_functions={},
+        ),
         ModelRequestNode(
             request=ModelRequest(
                 parts=[
@@ -338,6 +344,7 @@ if __name__ == '__main__':
     print(output_messages)
     """
     [
+        '=== UserPromptNode: What will the weather be like in Paris on Tuesday? ===',
         '=== ModelRequestNode: streaming partial request tokens ===',
         '[Request] Starting part 0: ToolCallPart(tool_name=\'weather_forecast\', args=\'{"location":"Pa\', tool_call_id=\'0001\', part_kind=\'tool-call\')',
         '[Request] Part 0 args_delta=ris","forecast_',
diff --git a/docs/graph.md b/docs/graph.md
index d7aa84f2de..c37aca7051 100644
--- a/docs/graph.md
+++ b/docs/graph.md
@@ -510,6 +510,7 @@ async def main():
             #> Node: CountDown()
             #> Node: CountDown()
             #> Node: CountDown()
+            #> Node: CountDown()
             #> Node: End(data=0)
     print('Final result:', run.result.output)  # (3)!
     #> Final result: 0
diff --git a/pydantic_ai_slim/pydantic_ai/agent.py b/pydantic_ai_slim/pydantic_ai/agent.py
index becc95619a..99cf6448ad 100644
--- a/pydantic_ai_slim/pydantic_ai/agent.py
+++ b/pydantic_ai_slim/pydantic_ai/agent.py
@@ -372,6 +372,12 @@ async def main():
             print(nodes)
             '''
             [
+                UserPromptNode(
+                    user_prompt='What is the capital of France?',
+                    system_prompts=(),
+                    system_prompt_functions=[],
+                    system_prompt_dynamic_functions={},
+                ),
                 ModelRequestNode(
                     request=ModelRequest(
                         parts=[
@@ -1355,6 +1361,12 @@ async def main():
         print(nodes)
         '''
         [
+            UserPromptNode(
+                user_prompt='What is the capital of France?',
+                system_prompts=(),
+                system_prompt_functions=[],
+                system_prompt_dynamic_functions={},
+            ),
             ModelRequestNode(
                 request=ModelRequest(
                     parts=[
diff --git a/pydantic_graph/pydantic_graph/graph.py b/pydantic_graph/pydantic_graph/graph.py
index 0150e62528..3da34bca9a 100644
--- a/pydantic_graph/pydantic_graph/graph.py
+++ b/pydantic_graph/pydantic_graph/graph.py
@@ -607,6 +607,7 @@ async def main():
             print(node_states)
             '''
             [
+                (Increment(), MyState(number=1)),
                 (Increment(), MyState(number=1)),
                 (Check42(), MyState(number=2)),
                 (End(data=2), MyState(number=2)),
@@ -621,6 +622,7 @@ async def main():
             print(node_states)
             '''
             [
+                (Increment(), MyState(number=41)),
                 (Increment(), MyState(number=41)),
                 (Check42(), MyState(number=42)),
                 (Increment(), MyState(number=42)),
@@ -665,6 +667,7 @@ def __init__(
         self.deps = deps
 
         self._next_node: BaseNode[StateT, DepsT, RunEndT] | End[RunEndT] = start_node
+        self._is_started: bool = False
 
     @property
     def next_node(self) -> BaseNode[StateT, DepsT, RunEndT] | End[RunEndT]:
@@ -777,8 +780,13 @@ def __aiter__(self) -> AsyncIterator[BaseNode[StateT, DepsT, RunEndT] | End[RunE
 
     async def __anext__(self) -> BaseNode[StateT, DepsT, RunEndT] | End[RunEndT]:
         """Use the last returned node as the input to `Graph.next`."""
+        if not self._is_started:
+            self._is_started = True
+            return self._next_node
+
         if isinstance(self._next_node, End):
             raise StopAsyncIteration
+
         return await self.next(self._next_node)
 
     def __repr__(self) -> str:
diff --git a/tests/graph/test_graph.py b/tests/graph/test_graph.py
index 82810d851b..09502de3c0 100644
--- a/tests/graph/test_graph.py
+++ b/tests/graph/test_graph.py
@@ -312,7 +312,9 @@ async def test_iter():
         assert graph_iter.result
         assert graph_iter.result.output == 8
 
-    assert node_reprs == snapshot(["String2Length(input_data='3.14')", 'Double(input_data=4)', 'End(data=8)'])
+    assert node_reprs == snapshot(
+        ['Float2String(input_data=3.14)', "String2Length(input_data='3.14')", 'Double(input_data=4)', 'End(data=8)']
+    )
 
 
 async def test_iter_next(mock_snapshot_id: object):