At about 1358 eastern time, a Cessna T210N lost power and crashed at Teterboro Airport, killing the pilot. The pilot departed on runway 6 from intersection Golf and did not make any transmissions after departure. Less than a minute later, another pilot reported an airplane down on the airport. Witnesses reported hearing the engine fail and the airplane make a steep turn back toward the airport. An air filter was found to have been installed backwards, allowing elements of the air filter to be ingested by the turbocharger compressor.