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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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