Comparing Two Matrices of Generalized Moments Defined by Continued Fraction Expansions
School of Science
Waterford Institute of Technology
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.
Full version: pdf,
(Concerned with sequences
Received November 27 2013;
revised version received March 18 2013.
Published in Journal of Integer Sequences, March 22 2013.
Journal of Integer Sequences home page