In this paper, we present an explicit formula and recurrent relation for generalized Catalan numbers, from which we can give corresponding formulas for Schroder numbers, large and small generalized Catalan numbers for the special cases of our results.
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Univ Ghent, Fac Engn & Architecture, Dept Math Anal, Galglaan 2, B-9000 Ghent, BelgiumUniv Ghent, Fac Engn & Architecture, Dept Math Anal, Galglaan 2, B-9000 Ghent, Belgium
Constales, Denis
De Bie, Hendrik
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Univ Ghent, Fac Engn & Architecture, Dept Math Anal, Galglaan 2, B-9000 Ghent, BelgiumUniv Ghent, Fac Engn & Architecture, Dept Math Anal, Galglaan 2, B-9000 Ghent, Belgium
De Bie, Hendrik
Lian, Pan
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Tianjin Normal Univ, Sch Math Sci, Binshui West Rd 393, Tianjin 300387, Peoples R ChinaUniv Ghent, Fac Engn & Architecture, Dept Math Anal, Galglaan 2, B-9000 Ghent, Belgium