Title

Divisibility of Generalized Catalan Numbers and Raney Numbers

Document Type

Article

Abstract

The Raney numbers, also called Fuss-Catalan numbers, are dened by Rk(n, r) = r (kn+r n)/ (kn + r). A generalized Lobb numbers is introduced. The relationship between Raney numbers and generalized Lobb numbers and the relationship between generalized Lobb numbers and generalized Catalan numbers are given. Based on the relationships among Raney numbers, generalized Lobb numbers, and generalized Catalan numbers, we present the divisibility of a certain class of those numbers.

Keywords

Catalan numbers; Divisibility; Fuss-Catalan numbers; Generalized catalan numbers; Generalized lobb numbers; Lobb numbers; Raney numbers

Disciplines

Applied Mathematics


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