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
Ivano-Frankivsk
Ukraine
Abstract:
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.
Full version: pdf,
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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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