This name is a synonym of Polycodium kunthianum (Klotzsch) C.B. Rob..
The record derives from Tropicos
(data supplied on 2012-04-18)
which reports it as a synonym (record 12300491) with original publication details: Linnaea 24(1): 56 1851.
Full publication details for this name can be found in IPNI: http://ipni.org/urn:lsid:ipni.org:names:858982-1.
This name was in version 1 of The Plant List, record tro-12300491, and has not been changed.