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 85
- Downloads 0
Strongly Time-Consistent Core in Differential Games with Discrete Distribution of Random Time Horizon
In this paper we investigate the problem of strong time-consistency of the core for a particular class of differential games with random time horizon, namely, it is assumed that there exists a set of probabilities of the...
The Bruss-Robertson Inequality: Elaborations, Extensions, and Applications
The Bruss-Robertson inequality gives a bound on the maximal number of elements of a random sample whose sum is less than a specified value, and the extension of that inequality which is given here neither requires the in...
A refined and asymptotic analysis of optimal stopping problems of Bruss and Weber
The classical secretary problem has been generalized over the years into several directions. In this paper we confine our interest to those generalizations which have to do with the more general problem of stopping on a...
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...
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...