Geodesic
The five-vertex model and boxed plane partitions
Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamics systems, combinatorial methods. Part XVI, Tome 360 (2008), pp. 162-179

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Boxed plane partitions are considered in terms of the five-vertex model on a finite lattice with fixed boundary conditions. Assuming that all weights of the model have the same value, the one-point correlation function describing the probability of having a given state on an arbitrary horizontal edge of the lattice is calculated. This is equivalent to the enumeration of boxed plane partitions that correspond to rhombus tilings of a hexagon with one fixed rhombus of a particular type. The solution of the problem is given for the case of a box of generic size. Bibl. – 27 titles. 
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V. S. Kapitonov; A. G. Pronko. The five-vertex model and boxed plane partitions. Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamics systems, combinatorial methods. Part XVI, Tome 360 (2008), pp. 162-179. http://geodesic.mathdoc.fr/item/ZNSL_2008_360_a7/