Exponential Riordan Arrays and Permutation Enumeration
School of Science
Waterford Institute of Technology
We show that the generating function of the symmetric group with
respect to five particular statistics gives rise to an exponential
Riordan array, whose inverse is the coefficient array of the associated
orthogonal polynomials. This also provides us with an LDU
factorization of the Hankel matrix of the associated moments.
Full version: pdf,
(Concerned with sequences
Received June 25 2010;
revised version received September 13 2010.
Published in Journal of Integer Sequences, December 5 2010.
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