On two-parameters generalization of Fibonacci numbers
Journal Title: Mathematica Applicanda. Annales Societatis Mathematicae Polonae Series III . - Year 2017, Vol 0, Issue 0
Abstract
In this paper we introduce a new two-parameters generalization of Fibonacci numbers – distance s-Fibonacci numbers Fs(k, n). We generalize the known distance Fibonacci numbers by adding an additional integer parameter s. We give combinatorial and graph interpretations of these numbers. Moreover, we present some properties of distance s-Fibonacci numbers, which generalize known properties of classical Fibonacci and Padovan numbers.
Authors and Affiliations
Dorota Bród
Keywords
Related Articles
- EP ID EP652163
- DOI 10.14708/ma.v45i1.1110
- Views 104
- Downloads 0
On graduation of enrolment size in a multi-echelon educational system
This paper focuses on an educational system wherein demotion and double promotion are not allowed. The total enrolment in such a system is modelled as a linear model within the context of factor analysis. The goal is to...
Case study of the complex systems e ciency
The subject of considerations shall be mathematical models describing the fluctuation of states of complex systems. The purpose of this work is to give a defined system (considering failures, the activation process and p...
Common-Knowledge and Bayesian Equilibrium in Network Game
In this paper we investigate equilibriums in the Bayesian routing problem of the network game introduced by Koutsoupias and Papadimitriou [LNCS 1563, pp.404-413. Springer (1999)]. We treat epistemic conditions for Nas...
Selected applications of differential equations in Vanilla Options valuation.
In financial models one of the basic assumptions about investors is that they want to gain as much as it is possible but they have aversion taking the risk. Each investing strategy can be considered as a compromise betwe...
Application of fRMSDchiral for mathematical description of mutual position between stereoisomers
The ability of biological systems to recognize and distinguish between compounds is crucial for living systems. A detailed study of this mechanism seems to be an important supplement for analysis of possible contact inte...