Journal of Integer Sequences, Vol. 20 (2017), Article 17.5.3

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


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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