Constructing exponential riordan arrays from their A and Z sequences

Paul Barry

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)


We show how to construct an exponential Riordan array from a knowledge of its A and Z sequences. The effect of pre- and post-multiplication by the binomial matrix on the A and Z sequences is examined, as well as the effect of scaling the A and Z sequences. Examples are given, including a discussion of related Sheffer orthogonal polynomials.

Original languageEnglish
Article number14.2.6
JournalJournal of Integer Sequences
Issue number2
Publication statusPublished - 06 Jan 2014


  • A sequence
  • Exponential riordan array
  • Orthogonal polynomial
  • Production matrix
  • Z sequence


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