- Ikonion Journal of Mathematics
- Vol: 2 Issue: 1
- A Note On The Generalizations of Jacobthal and Jacobthal-Lucas Sequences
A Note On The Generalizations of Jacobthal and Jacobthal-Lucas Sequences
Authors : Yashwant Panwar
Pages : 28-43
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Publication Date : 2020-07-30
Article Type : Research
Abstract :In this paper, we present the generalization of Jacobsthal and Jacobsthal-Lucas sequences by the recurrence relations,,,,,,,,,,,,,,,,, with the initial conditions,,,,,,,,,,,,,,,,,,,,,, . We establish some of the interesting properties of involving them. Also we describe and derive sums, connection formulae and Generating function. We have used their Binet’s formula to derive the identities.Keywords : Generalized Jacobsthal sequence, Generalized Jacobsthal-Lucas sequence, Binet’s formula, Generating function