Journal of Integer Sequences, Vol. 17 (2014), Article 14.5.1

Comparing Two Matrices of Generalized Moments Defined by Continued Fraction Expansions


Paul Barry
School of Science
Waterford Institute of Technology
Ireland

Abstract:

We study two matrices N and M defined by the parameters of equivalent S- and J-continued fraction expansions, and compare them by examining the product N-1M. Using examples based on the Catalan numbers, the little Schröder numbers, and powers of q, we indicate that this matrix product is an object worthy of study. In the case of the little Schröder numbers, we find that the matrix N has an interleaved structure based on two Riordan arrays.


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(Concerned with sequences A000108 A001003 A033184 A036442 A039599 A172094.)


Received November 27 2013; revised version received March 18 2013. Published in Journal of Integer Sequences, March 22 2013.


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