Extending generalized Fibonacci sequences and their Binet-type formula

Mustapha Rachidi, Osamu Saeki

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


We study the extension problem of a given sequence defined by a finite order recurrence to a sequence defined by an infinite order recurrence with periodic coefficient sequence. We also study infinite order recurrence relations in a strong sense and give a complete answer to the extension problem. We also obtain a Binet-type formula, answering several open questions about these sequences and their characteristic power series.

Original languageEnglish
Article number23849
JournalAdvances in Difference Equations
Publication statusPublished - 2006

All Science Journal Classification (ASJC) codes

  • Analysis
  • Algebra and Number Theory
  • Applied Mathematics


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