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Period lengths modulo n and average of terms of second order linear recurrences
- 1.0585514 - MÚ 2025 RIV DE eng J - Journal Article
Křížek, Michal - Somer, L.
Period lengths modulo n and average of terms of second order linear recurrences.
Integers. Electronic Journal of Combinatorial Number Theory. Roč. 24, April (2024), č. článku A36. ISSN 1553-1732
Institutional support: RVO:67985840
Keywords : second-order linear recurrence * Fibonacci sequence
OECD category: Pure mathematics
Method of publishing: Open access
https://doi.org/10.5281/zenodo.10944025
We present results concerning when the average of the rst n terms of any sequence satisfying a certain second-order linear recurrence is an integer. These results sub-stantially generalize results of Fatehizadeh and Yaqubi concerning the Fibonacci sequence. For particular second-order linear recurrences we also explicitly determine all positive integers n for which the period of this second-order linear recurrence modulo n divides n.
Permanent Link: https://hdl.handle.net/11104/0353198
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