Geodesic
Determinants of Triangular Matrices and Trajectories on Ferre Diagrams
Matematičeskie zametki, Tome 72 (2002) no. 6, pp. 834-852

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Some functions defined on the set of integer triangular matrices and their modifications are considered. These functions are analogs of the classical determinant and permanent functions and provide a powerful apparatus for studying sequences generated by linear recursive equations. Modifications of these functions are used to solve the problem about trajectories on Ferre diagrams and to establish new combinatorial identities. 
@article{MZM_2002_72_6_a5,
     author = {R. A. Zatorskii},
     title = {Determinants of {Triangular} {Matrices} and {Trajectories} on {Ferre} {Diagrams}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {834--852},
     publisher = {mathdoc},
     volume = {72},
     number = {6},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2002_72_6_a5/}
}
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R. A. Zatorskii. Determinants of Triangular Matrices and Trajectories on Ferre Diagrams. Matematičeskie zametki, Tome 72 (2002) no. 6, pp. 834-852. http://geodesic.mathdoc.fr/item/MZM_2002_72_6_a5/