29 citations
4 papers
math.CO2008
Potential Polynomials and Motzkin Paths
Yidong Sun
A {\em Motzkin path} of length is a lattice path from to in the plane integer lattice consisting of horizontal-steps , up-s…
math.CO2008★ 8 cited
On the number of combinations without certain separations
Toufik Mansour, Yidong Sun
In this paper we enumerate the number of ways of selecting objects from objects arrayed in a line such that no two selected ones are separated by object…
math.CO2008
Identities involving Narayana polynomials and Catalan numbers
Toufik Mansour, Yidong Sun
We first establish the result that the Narayana polynomials can be represented as the integrals of the Legendre polynomials. Then we represent the Catalan numbers in terms of the N…
math.CO2008★ 29 cited
Bell Polynomials and -generalized Dyck Paths
Toufik Mansour, Yidong Sun
A {\em k-generalized Dyck path} of length is a lattice path from to in the plane integer lattice consisting of horizontal-steps $(k…