  The notion of a $\tau$-exceptional sequence was introduced by Buan and Marsh
in 2018 as a generalisation of an exceptional sequence for finite dimensional
algebras. We calculate the number of complete $\tau$-exceptional sequences over
certain classes of Nakayama algebras. In some cases, we obtain closed formulas
which also count other well known combinatorial objects and exceptional
sequences of path algebras of Dynkin quivers.
