Asymptotics of the number of lattice triangulations of rectangles of width 4 and 5

Stepan Orevkov

Let $f(m,n)$ be the number of primitive lattice triangulations of an $m\times n$ rectangle. We express the limits ${\lim }_{n}f(m,n{)}^{1/n}$ for $m=4$ and $m=5$ in terms of certain s…