Journal of Integer Sequences, Vol. 17 (2014), Article 14.2.6

Constructing Exponential Riordan Arrays from Their A and Z Sequences

Paul Barry
School of Science
Waterford Institute of Technology


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.

Full version:  pdf,    dvi,    ps,    latex    

(Concerned with sequences A004211 A007318 A007405 A009244 A014307 A048993 A049020 A049774 A060311 A100862 A182822.)

Received October 8 2013; revised version received December 30 2013. Published in Journal of Integer Sequences, January 6 2014.

Return to Journal of Integer Sequences home page