On Multiperiodic Infinite Recursions and Their Finite Core
Stephan Dominique Andres
Department of Mathematics and Computer Science
Fernuniversität in Hagen
We define multiperiodic infinite recursions and show that for such a
recursion there is a finite linear recursion, the finite core,
which gives almost the same type of recursion except for a different
offset. Moreover, if we add the sequences produced by all multiperiodic
infinite recursions with a given finite core, we almost obtain a multiple
of the sequence associated with the finite core.
Full version: pdf,
(Concerned with sequences
Received May 11 2010;
revised version received February 9 2011.
Published in Journal of Integer Sequences, March 25 2011.
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