Divisibility of Generalized Catalan Numbers and Raney Numbers

Tian-Xiao He, Jacob Bobrowski, Peter J.-S. Shiue

Research output: Journal ArticleArticlepeer-review

Abstract

The Raney numbers, also called Fuss-Catalan numbers, are defined by Rk(n, r) = r(...)/(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.
Original languageAmerican English
JournalJournal of Computational Analysis and Applications
Volume26
StatePublished - 2019

Keywords

  • Catalan numbers
  • divisibility
  • Fuss-Catalan numbers
  • generalized Catalan numbers
  • generalized Lobb numbers
  • Lobb numbers
  • Raney numbers

Disciplines

  • Applied Mathematics
  • Mathematics

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