A note on a one-parameter family of catalan-like numbers

Paul Barry

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

We study a family of sequences of Catalan-like numbers based on the series reversion process. Properties of these sequences are derived, including continued fraction expansions, associated orthogonal polynomials and associated Aigner matrices, which turn out to be Riordan arrays.

Original languageEnglish
Pages (from-to)Article 09.5.4
JournalJournal of Integer Sequences
Volume12
Issue number5
Publication statusPublished - 2009

Keywords

  • Catalan-like
  • Chebyshev polynomials
  • Hankel transform
  • Integer sequence
  • Orthogonal polynomials
  • Riordan arrays

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