Let f (m, n) be the number of primitive lattice triangulations of an m n rectangle. We express the limits ₙ f (m, n) ^1/n for m = 4 and m=5 in terms of certain systems of Fredholm integral equations on generating functions (the case m3 was treated in 7). Solving these equations numerically, we compute approximate values of these limits with a rather high precision. Bibliography: 11 titles.
Stepan Yur'evich Orevkov (Thu,) studied this question.