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On Multiperiodic Infinite Recursions and Their Finite Core
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Stephan Dominique Andres

Department of Mathematics and Computer Science

Fernuniversität in Hagen

Lützowstr. 125

58084 Hagen

Germany

**Abstract:**

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.

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(Concerned with sequences
A000045
A121833.)

Received May 11 2010;
revised version received February 9 2011.
Published in *Journal of Integer Sequences*, March 25 2011.

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