On a two-parameter generalization of Jacobsthal numbers and its graph interpretation
Journal Title: Annales Universitatis Mariae Curie-Skłodowska. Sectio A, Mathematica - Year 2018, Vol 72, Issue 2
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.
Authors and Affiliations
Dorota Bród
Keywords
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- EP ID EP530737
- DOI 10.17951/a.2018.72.2.21
- Views 83
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