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PreprintCC BY-NC-ND 4.0arXiv

Stable Solutions to Generalizations of Fibonacci Relations of Higher Order

  • Timmy Ma
  • Patrick Vernon
Open at sourcePDFDOICite

Abstract

We reformulate and discuss the conditions for the initial values in which a generalized Fibonacci sequence is eventually strictly monotonic. We then extend this exploration to the generalized k-bonacci sequence. We also give a lower bound on when an eventually strictly monotone generalized k-bonacci sequence becomes monotone.

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Cite

BibTeXRIS
BibTeX
@misc{ma2026stable,
  title = {{Stable Solutions to Generalizations of Fibonacci Relations of Higher Order}},
  author = {Timmy Ma and Patrick Vernon},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2608.28782},
  eprint = {2608.28782},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.28782},
  note = {CC BY-NC-ND 4.0},
}
RIS
TY  - UNPB
TI  - Stable Solutions to Generalizations of Fibonacci Relations of Higher Order
AU  - Timmy Ma
AU  - Patrick Vernon
PY  - 2026
DA  - 2026/09/02
PB  - arXiv
DO  - 10.48550/arxiv.2608.28782
UR  - https://arxiv.org/abs/2608.28782
AB  - We reformulate and discuss the conditions for the initial values in which a generalized Fibonacci sequence is eventually strictly monotonic. We then extend this exploration to the generalized k-bonacci sequence. We also give a lower bound on when an eventually strictly monotone generalized k-bonacci sequence becomes monotone.
ER  -