You've got your Pfund series where electrons fall down to the 5th level, your Brackett series where they fall to the 4th level, and your Paschen series where they fall to the 3rd level. All of those transitions ploop out photons at Infrared wavelengths.
THEN next you get your Balmer series, where the electrons fall in to the 2nd level. Most of those are at visible wavelengths, but even a few of the Balmer transitions are in the Ultraviolet.
And then there's the Lyman series, where electrons fall all the way down to the #1 level. Those are ALL in the ultraviolet.
