  In this paper we study the category of finitely generated modules over a
right $3$-Nakayama artin algebra. First we give a characterization of right
$3$-Nakayama artin algebras and then we give a complete list of non-isomorphic
finitely generated indecomposable modules over any right $3$-Nakayama artin
algebra. Also we compute all almost split sequences for the class of right
$3$-Nakayama artin algebras. Finally, we classify finite dimensional right
$3$-Nakayama algebras in terms of their quivers with relations.
