ArticleOriginal scientific text
Title
On a two-parameter generalization of Jacobsthal numbers and its graph interpretation
Authors
Abstract
In this paper we introduce a two-parameter generalization of the classical Jacobsthal numbers ((s,p)-Jacobsthal numbers). We present some properties of the presented sequence, among others Binet’s formula, Cassini’s identity, the generating function. Moreover, we give a graph interpretation of (s,p)-Jacobsthal numbers, related to independence in graphs.
Keywords
Jacobsthal numbers, generalized Jacobsthal numbers, Binet’s formula, generating function, graph interpretation, Merrifield-Simmons index
Bibliography
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Main language of publication
English
Published
2018
Published online
2018-12-22
Exact and natural sciences