As reported to the FAA. Reports are unverified, and codes are left as the FAA publishes them.
What was found
LGA - DURING INITIAL CLIMB-OUT, RIGHT MAIN GEAR RED LIGHT REMAINED ILLUMINATED WITH GEAR HANDLE IN OFF POSITION. RECYCLED GEAR HANDLE AND RED LIGHT WENT OUT. LANDED LGA WITHOUT INCIDENT. REPLACED PROXIMITY SENSOR ELECTRONICS UNIT AS PRECAUTION. SYSTEM GROUND CHECKED NORMAL OPERATION.