  In this paper we calculate the luminosity distance - redshift relation for a
special type of flat Friedmann brane with cosmological constant. This special
case is singled out by its simplicity, the luminosity distance being given in
terms of elementary functions. We compare our analytical result with the
expresssion of the luminosity distance for the flat
Friedmann-Lemaitre-Robertson-Walker (FLRW) universe and discuss the
differences.
