Journal of Integer Sequences, Vol. 13 (2010), Article 10.8.2

The Euler-Seidel Matrix, Hankel Matrices and Moment Sequences


Paul Barry
School of Science
Waterford Institute of Technology
Ireland

Aoife Hennessy
Department of Computing, Mathematics and Physics
Waterford Institute of Technology
Ireland

Abstract:

We study the Euler-Seidel matrix of certain integer sequences, using the binomial transform and Hankel matrices. For moment sequences, we give an integral representation of the Euler-Seidel matrix. Links are drawn to Riordan arrays, orthogonal polynomials, and Christoffel-Darboux expressions.

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(Concerned with sequences A000045 A000108 A000142 A000165 A000731 A001045 A001147 A007317 A007318 A033887 A039599 A067411 A122367 A129818.)

Received April 27 2010; revised version received July 21 2010. Published in Journal of Integer Sequences, August 2 2010.

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