Binom transformations of k-Jacobsthal and k-Jacobsthal Lucas sequences

In this study, first of all the special integer sequences are defined briefly by giving some basic properties. And the binom transformations are given. In this study, we define the binomial, k-binomial,rising and falling transforms for k-Fibonacci, k-Lucas, k-Jacobsthal, k-Jacobsthal Lucas sequences. We investigate some properties of these sequences such as recurrence relations, Binet's formula, generating functions and in the sequel of this study we denote Pascal Jacobsthal triangle and a matlab programme for finding the elements of these binomial transformation sequences.