Dalian Maritime University

most citedStatefinder Parameters for Tachyon Dark Energy Model

37 citations

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math.CO2008

Potential Polynomials and Motzkin Paths

Yidong Sun

A {\em Motzkin path} of length $n$ is a lattice path from $(0, 0)$ to $(n, 0)$ in the plane integer lattice $Z \times Z$ consisting of horizontal-steps $(1, 0)$ , 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 $k$ objects from $n$ objects arrayed in a line such that no two selected ones are separated by $m - 1, 2 m - 1, ..., p m - 1$ 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 $k$ -generalized Dyck Paths

Toufik Mansour, Yidong Sun

A {\em k-generalized Dyck path} of length $n$ is a lattice path from $(0, 0)$ to $(n, 0)$ in the plane integer lattice $Z \times Z$ consisting of horizontal-steps $(k…

Potential Polynomials and Motzkin Paths

On the number of combinations without certain separations

Identities involving Narayana polynomials and Catalan numbers

Bell Polynomials and k-generalized Dyck Paths

Bell Polynomials and $k$ -generalized Dyck Paths