Riordan arrays, generalized Narayana triangles, and series reversion

Paul Barry

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


Using elements of the group of Riordan arrays we define a family of generalized Narayana triangles and their associated generalized Catalan numbers, and study their links to series reversion. In particular we use Lagrange inversion techniques to determine the generating functions for these generalized Catalan numbers.

Original languageEnglish
Pages (from-to)343-385
Number of pages43
JournalLinear Algebra and Its Applications
Publication statusPublished - 15 Feb 2016


  • Catalan numbers
  • Lagrange inversion
  • Narayana numbers
  • Riordan array


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