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math.CO2000
A non-automatic (!) application of Gosper's algorithm evaluates a determinant from tiling enumeration
Mihai Ciucu, Christian Krattenthaler
We evaluate the determinant , which gives the number of lozenge tilings of a hexagon with cut off corners. A pa…
math.CO2000
Permutations with restricted patterns and Dyck paths
Christian Krattenthaler
We exhibit a bijection between 132-avoiding permutations and Dyck paths. Using this bijection, it is shown that all the recently discovered results on generating functions for 132-…