Short note on the number of 1-ascents in dispersed dyck paths

Kairi Kangro, Mozhgan Pourmoradnasseri, Dirk Oliver Theis

A dispersed Dyck path (DDP) of length n is a lattice path on $N\times N$ from (0,0) to (n,0) in which the following steps are allowed: "up" (x, y) $\to$ (x+1, y+1); "down" (x, y) $…