Dave Girard shares his OBJ sequence import script for Maya that initially came out of his need for a specific interoperability workflow using Houdini and Maya together. Dave notes that Alembic would not work in this case because his animation had objects with animated visibility, and Alembic only seems to export objects that are visible on the first frame.

…After looking around for a decent OBJ sequence importer for Maya, I did what anyone with a huge hangover would do: I just rolled my own OBJ sequence importer script…

In looking, and not finding something that would work for him, Dave made his own simple OBJ importer for Maya that will allow you to import animated OBJ sequences. Dave notes that it is pretty basic, but it will do in a pinch. Check out the OBJ Sequence Importer for Maya here.