On binomial transform of the generalized Jacobsthal-Padovan numbers

In this paper, we define the binomial transform of the generalized Jacobsthal-Padovan sequence and as special cases, the binomial transform of the Jacobsthal-Padovan, Jacobsthal-Perrin, adjusted Jacobsthal-Padovan, modified Jacobsthal-Padovan sequences will be introduced. We investigate their properties in details.

کلیدواژه ها:

binomial transform ، Jacobsthal-Padovan sequence ، Jacobsthal-Padovan numbers ، Jacobsthal-Perrin sequence ، Jacobsthal-Perrin numbers ، binomial transform of Jacobsthal-Padovan sequence ، generalized Tribonacci sequence