Continued Fractions and Transformations of Integer Sequences

Paul Barry

Research output: Contribution to journalArticlepeer-review

26 Citations (Scopus)


We show how various transformations of integer sequences, normally realized by Riordan or generalized Riordan arrays, can be translated into continued fraction form. We also examine the Deleham number triangle construction using bi-variate continued fractions, giving examples from the field of associahedra.
Original languageEnglish
Pages (from-to)1-37
Number of pages37
JournalJournal of Integer Sequences
Issue number7
Publication statusPublished - 2009


  • Continued fraction
  • Deleham construction
  • Generating function
  • Integer sequence
  • Linear transformation
  • Riordan array


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