Was it happening before the battery change?
Just for reference, here's what the owners manual says:
"During normal operation, after placing the ignition in the
on position, the vehicle security light will turn on for three
If the light remains on after the bulb check, it indicates that there is a problem with the electronics.
In addition, if the vehicle security light begins
to flash after the bulb check, it indicates that someone used
an invalid key to try to start the engine. Either of these
conditions will result in the engine being shut off after two
seconds.
If the vehicle security light turns on during normal vehicle
operation (vehicle running for longer than ten seconds), it
indicates that there is a fault in the electronics. Should this
occur, have the vehicle serviced as soon as possible by an
authorized dealer."