Andres, Stephan Dominique On multiperiodic infinite recursions and their finite core. (English) Zbl 1217.05020 J. Integer Seq. 14, No. 2, Article 11.2.7, 9 p. (2011). 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. MSC: 05A15 Exact enumeration problems, generating functions 05A17 Combinatorial aspects of partitions of integers 05A19 Combinatorial identities, bijective combinatorics 11P81 Elementary theory of partitions 11P83 Partitions; congruences and congruential restrictions Keywords:periodic infinite recursion; unordered additive partition; linear recurrence; sequence function; multiperiodicity; Fibonacci number Software:OEIS PDFBibTeX XMLCite \textit{S. D. Andres}, J. Integer Seq. 14, No. 2, Article 11.2.7, 9 p. (2011; Zbl 1217.05020) Full Text: EuDML EMIS Online Encyclopedia of Integer Sequences: Expansion of 1/(1-x^2-x^3-x^6).