Combinatorial enumeration of lattice paths by flaws with respect to a linear boundary of rational slope

Federico Firoozi, Jonathan Jedwab, Amarpreet Rattan

Let $a,b$ be fixed positive coprime integers. For a positive integer $g$, write $W_k(g)$ for the set of lattice paths from the startpoint $(0,0)$ to the endpoint $(ga,gb)$ with ste…