On the Fibonacci and Lucas p-numbers, their sums, families of bipartite graphs and permanents of certain matrices

E. Kilic and A.P. Stakhov

Chaos, Solitons & Fractals, 2009, vol. 40, issue 5, 2210-2221

Abstract: In this paper we consider certain generalizations of the well-known Fibonacci and Lucas numbers, the generalized Fibonacci and Lucas p-numbers. We give relationships between the generalized Fibonacci p-numbers, Fp(n), and their sums, ∑i=1nFp(i), and the 1-factors of a class of bipartite graphs. Further we determine certain matrices whose permanents generate the Lucas p-numbers and their sums.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:40:y:2009:i:5:p:2210-2221

DOI: 10.1016/j.chaos.2007.10.007

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