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We obtain a new expression for the partition function of the 8VSOS model withdomain wall boundary conditions, which we consider to be the natural extensionof the Izergin-Korepin formula for the six-vertex model. As applications, wefind dynamical (in the sense of the dynamical Yang-Baxter equation)generalizations of the enumeration and 2-enumeration of alternating signmatrices. The dynamical enumeration has a nice interpretation in terms ofthree-colourings of the square lattice.

An Izergin-Korepin-type identity for the 8VSOS model, with applications to alternating sign matrices