A Note On The Generalizations of Jacobthal and Jacobthal-Lucas Sequences

A Note On The Generalizations of Jacobthal and Jacobthal-Lucas Sequences

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.

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