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Advances in Continuous and Discrete Models

Theory and Modern Applications

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On the growth rate of generalized Fibonacci numbers

Advances in Difference Equations volume 2004, Article number: 876467 (2004) Cite this article

Abstract

Let α(t) be the limiting ratio of the generalized Fibonacci numbers produced by summing along lines of slope t through the natural arrayal of Pascal's triangle. We prove that is an even function.

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  1. Department of Applied Mathematics and Statistics, The Johns Hopkins University, Baltimore, MD, 21218-2682, UK

    Donniell E Fishkind

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  1. Donniell E Fishkind
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Correspondence to Donniell E Fishkind.

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Fishkind, D.E. On the growth rate of generalized Fibonacci numbers. Adv Differ Equ 2004, 876467 (2004). https://doi.org/10.1155/S1687183904310034

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  • DOI: https://doi.org/10.1155/S1687183904310034