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math.CO2013
A determinant representation for generalized ballot and Fuss-Catalan numbers
James J. Y. Zhao
In this note we introduce a determinant and then give its evaluating formula. The determinant turns out to be a generalization of the well-known ballot and Fuss-Catalan numbers, wh…
math.CO2013★ 1 cited
Koroljuk's formula for counting lattice paths revisited
James J. Y. Zhao
Koroljuk gave a summation formula for counting the number of lattice paths from to with -steps in the plane that stay strictly above the line $y=k(x-d…