A Note on Super Catalan Numbers

• GEORGIADIS Evangelos

  Massachusetts Institute of Technology

• MUNEMASA Akihiro

  Graduate School of Information Sciences, Tohoku University

• TANAKA Hajime

  Graduate School of Information Sciences, Tohoku University

Abstract

We show that the super Catalan numbers are special values of the Krawtchouk polynomials by deriving an expression for the super Catalan numbers in terms of a signed set.

Journal

• Interdisciplinary Information Sciences

  Interdisciplinary Information Sciences 18 (1), 23-24, 2012

  The Editorial Committee of the Interdisciplinary Information Sciences

Keywords

• Catalan number
• Krawtchouk polynomial
• MacWilliams identities
• von Szily's identity
• lattice path

Details

• CRID: 1390001204436576128
• NII Article ID: 110009795169
• NII Book ID: AA11032627
• DOI: 10.4036/iis.2012.23
• ISSN: 13476157
• ISSN: 13409050
• HANDLE: 10097/57165
• Web Site: https://tohoku.repo.nii.ac.jp/records/41821
• Text Lang: en
• Data Source:
  • JaLC
  • IRDB
  • Crossref
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed