What was found
ENROUTE AT FL410 . HEARD A LOUD NOISE COMING FROM THE FRONT ENTRANCE DOOR AND SUSPECTED A DOOR SEAL LEAK. THE CABIN BEGAN TO CLIMB AT A RAPID RATE. ELECTED TO REQUEST A LOWER ALTITUDE WITH ATC WHILE WORKING ON THE ISSUE. BEGAN A DESCENT TO THE ASSIGNED ALTITUDE OF FL360 WHILE THE F/O WORKED ON THE PRESSURIZATION ISSUE. WHILE IN THE DESCENT TO FL360 THE CABIN CONTINUED TO CLIMB AND WE REQUESTED FURTHER DESCENT AND INFORMED ATC OF A PRESSURIZATION ISSUE. AT THIS TIME, GIVEN FL200 AND A VECTOR HEADING AND INFORMED TO SQUAWK 7700 AND COMPLIED. AT THIS TIME THE CABIN CONTINUED TO CLIMB AND REQUESTED A FURTHER DESCENT AND WAS GIVEN FL120 AND VECTOR HEADINGS. AT FL120 AND THE CABIN STABLIZED, ELECTED TO CONTINUE AND LAND AS PRACTICABLE AT OUR DESTINATION AIRPORT.