Geodesic
On multiperiodic infinite recursions and their finite core
Journal of integer sequences, Tome 14 (2011) no. 2.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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.
Classification : 05A15, 05A17, 05A19, 11P81, 11P83
Keywords: periodic infinite recursion, unordered additive partition, linear recurrence, sequence function, multiperiodicity, Fibonacci number 
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     author = {Andres, Stephan Dominique},
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Andres, Stephan Dominique. On multiperiodic infinite recursions and their finite core. Journal of integer sequences, Tome 14 (2011) no. 2. http://geodesic.mathdoc.fr/item/JIS_2011__14_2_a4/