On the growth rate of generalized Fibonacci numbers

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 α(t)3+t is an even function.

Bibliographic Details
Main Author: Donniell E. Fishkind
Format: Article
Language:English
Published: SpringerOpen 2004-12-01
Series:Advances in Difference Equations
Online Access:http://dx.doi.org/10.1155/S1687183904310034