Binomial transform of the generalized third-order Jacobsthal sequence. (English) Zbl 1504.11036
Summary: In this study, we establish the binomial transform of the generalized third-order Jacobsthal sequence. We also describe the binomial transform of four special cases of third-order Jacobsthal sequence such as the binomial transform of the third-order Jacobsthal, third-order Jacobsthal-Lucas, modified third-order Jacobsthal-Lucas, third-order Jacobsthal-Perrin sequences. Moreover, we examine their features in more detail.
MSC:
| 11B39 | Fibonacci and Lucas numbers and polynomials and generalizations |
| 11B83 | Special sequences and polynomials |
Keywords:
binomial transform; third-order Jacobsthal sequence; third-order Jacobsthal-Lucas sequence; binomial transform of third-order Jacobsthal sequence; generalized Tribonacci sequenceSoftware:
OEISReferences:
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