Geodesic
On multiperiodic infinite recursions and their finite core
Journal of integer sequences, Tome 14 (2011) no. 2
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 
@article{JIS_2011__14_2_a4,
     author = {Andres,  Stephan Dominique},
     title = {On multiperiodic infinite recursions and their finite core},
     journal = {Journal of integer sequences},
     year = {2011},
     volume = {14},
     number = {2},
     zbl = {1217.05020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2011__14_2_a4/}
}
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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/