Generalized Catalan Numbers, Hankel transforms and Somos-4 Sequences

Paul Barry

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)

Abstract

We study families of generalized Catalan numbers, defined by convolution recurrence equations. We explore their relations to series reversion, Riordan array transforms, and in a special case, to Somos-4 sequences via the mechanism of the Hankel transform.

Original languageEnglish
Pages (from-to)1-16
Number of pages16
JournalJournal of Integer Sequences
Volume13
Issue number7
Publication statusPublished - 2010

Keywords

  • Continued fraction
  • Hankel transform
  • Integer sequence
  • Linear recurrence
  • Riordan arrays
  • Somos sequence

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