Constructing Exponential Riordan Arrays from Their A and Z
Sequences
Paul Barry
School of Science
Waterford Institute of Technology
Ireland
Abstract:
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,
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(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.
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