A maximal green sequence is a certain sequence of quiver mutations. T. Brustle, G. Dupont and M. Perotin showed that for an acyclic quiver, maximal green sequences are realized as maximal paths in the Hasse quiver of the poset of support tilting modules and conjectured that possible lengths of maximal green sequences form an interval in \(\mathbb{Z}\). In this talk, we will consider possible lengths of maximal green sequences for quivers of type \(A\) or of type \(\tilde{A}_{n,1}\).