Constructing Pseudo-Involutions in the Riordan Group
National Security Agency
Fort Meade, MD 20755
Washington, DC 20059
Involutions and pseudo-involutions in the Riordan group are interesting
because of their numerous applications. In this paper we study
involutions using sequence characterizations of the Riordan arrays.
For a given B-sequence we find the unique function f(z)
such that the array (g(z), f (z))
is a pseudo-involution. As a combinatorial application, we find the
interpretation of each entry in the Bell array
(g(z),f(z)) with a given B-sequence.
Full version: pdf,
(Concerned with sequences
Received November 11 2016; revised versions received February 2 2017;
February 12 2017. Published in Journal of Integer Sequences,
February 18 2017.
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