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arXiv · 2608.28782

Stable Solutions to Generalizations of Fibonacci Relations of Higher Order

Timmy Ma·Patrick Vernon
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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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Timmy Ma, Patrick Vernon. 2026-08-28. Stable Solutions to Generalizations of Fibonacci Relations of Higher Order. https://arxiv.org/abs/2608.28782

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