Journal of Integer Sequences, Vol. 19 (2016), Article 16.2.2

Parapermanents of Triangular Matrices and Some General Theorems on Number Sequences

Roman Zatorsky and Taras Goy
Vasyl Stefanyk Precarpathian National University
Department of Mathematics and Informatics
Shevchenko str., 57


Applying the apparatus of triangular matrices, this paper determines general relations between the terms of the sequences generated by linear homogeneous recurrence equations. We single out, in particular, the class of normal linear recurrence equations, for which the corresponding number sequences have some interesting number-theoretic properties.

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(Concerned with sequences A000045 A000213 A000215 A000930 A001045 A001348 A002275.)

Received February 23 2015; revised version received December 20 2015. Published in Journal of Integer Sequences, January 10 2016.

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