Open Access Open Access  Restricted Access Subscription or Fee Access

Fibonacci-Like Sequence Associated with k-Pell, k-Pell-Lucas and Modified k-Pell Sequences

Arfat Ahmad Wani, G. P. S. Rathore

Abstract



The main aim of the present article to introduce a generalization of Fibonacci sequence which is similar to k-Pell, k-Pell-Lucas, Modified k-Pell sequences and known as Fibonacci-Like sequence. After that we obtain some fundamental properties of Fibonacci-Like sequence such as Binet formulae of Fibonacci-Like sequence, binomial transform of the Fibonacci-Like sequence and some other properties of Fibonacci-Like sequence with indexes in an arithmetic sequence. In addition to this we obtain some relations among k-Pell, k-Pell-Lucas, Modified k-Pell and Fibonacci-Like sequences and the most worth noticing cause of the present paper is we present determinantal identities involving k-Pell, k-Pell-Lucas, Modified k-Pell and Fibonacci-Like sequences.

Keywords


k-Pell Sequence, k-Pell-Lucas Sequence, Modified k-Pell Sequence, Generalized Fibonacci Sequence.

Full Text:

PDF


Disclaimer/Regarding indexing issue:

We have provided the online access of all issues and papers to the indexing agencies (as given on journal web site). It’s depend on indexing agencies when, how and what manner they can index or not. Hence, we like to inform that on the basis of earlier indexing, we can’t predict the today or future indexing policy of third party (i.e. indexing agencies) as they have right to discontinue any journal at any time without prior information to the journal. So, please neither sends any question nor expects any answer from us on the behalf of third party i.e. indexing agencies.Hence, we will not issue any certificate or letter for indexing issue. Our role is just to provide the online access to them. So we do properly this and one can visit indexing agencies website to get the authentic information. Also: DOI is paid service which provided by a third party. We never mentioned that we go for this for our any journal. However, journal have no objection if author go directly for this paid DOI service.