Infinite Linear Recurrence Relations and Superposition of Linear Recurrence Equations
Taras Goy and Roman Zatorsky
Vasyl Stefanyk Precarpathian National University
Department of Mathematics and Informatics
57 Shevchenko str.
76018 Ivano-Frankivsk
Ukraine
Abstract:
We consider the applications of triangular matrices and functions of
them to the study of number sequences generated by infinite-order
linear recurrence equations with constant coefficients. We also
introduce the concept of superposition of linear recurrence equations
and establish some of its properties.
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(Concerned with sequences
A000041
A001353
A001906
A257628.)
Received August 24 2016; revised versions received August 27 2016; January 14 2017; March 2 2017; March 3 2017.
Published in Journal of Integer Sequences, March 26 2017.
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