Variations of the Catalan numbers from some nonassociative binary operations

Nickolas Hein, Jia Huang

Research output: Contribution to conferencePaperpeer-review

Abstract

We investigate certain nonassociative binary operations that satisfy a four-parameter generalization of the associative law. From this we obtain variations of the ubiquitous Catalan numbers and connections to many interesting combinatorial objects such as binary trees, plane trees, lattice paths, and permutations.

Original languageEnglish (US)
StatePublished - 2018
Event30th international conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2018 - Hanover, United States
Duration: Jul 16 2018Jul 20 2018

Conference

Conference30th international conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2018
CountryUnited States
CityHanover
Period7/16/187/20/18

Keywords

  • Binary operation
  • Binary tree
  • Catalan number
  • Nonassociativity

ASJC Scopus subject areas

  • Algebra and Number Theory

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