From the Google App Engine FAQ and as mentioned in the comments
Static IP Addresses and App Engine apps
App Engine does not currently
provide a way to map static IP addresses to an application. In order
to optimize the network path between an end user and an App Engine
application, end users on different ISPs or geographic locations might
use different IP addresses to access the same App Engine application.
DNS might return different IP addresses to access App Engine over time
or from different network locations.
Outbound services, such as the URL Fetch, Sockets and Mail APIs, make
use of a large pool of IP addresses. The IP address ranges in this
pool are subject to routine changes. In fact, two sequential API calls
from the same application may appear to originate from two different
IP addresses.