Open Access

On the growth rate of generalized Fibonacci numbers

Advances in Difference Equations20042004:876467

DOI: 10.1155/S1687183904310034

Received: 1 May 2004

Published: 14 December 2004


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.

Authors’ Affiliations

Department of Applied Mathematics and Statistics, The Johns Hopkins University


© Fishkind 2004