If you don't have a backup, I can't see how you could recover.
If you do have a backup, you should be able to recover. If nothing else, you could recover the database someplace and used DDL to recreate the object and move the data to the newly recreated table.
Not that this helps you now, but there is a parameter when you create a table that restricts dropping the table until you alter the table to remove this restriction. This would prevent accidental drops in the future.