Binomial transform of the generalized third-order Jacobsthal sequence
Yüksel Soykan, Erkan Taşdemir, Melih Göcen
Abstract
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.
Topics & Concepts
Sequence (biology)Binomial theoremBinomial (polynomial)Binomial coefficientMathematicsThird orderDiscrete mathematicsStatisticsChemistryBiochemistryTheologyPhilosophyAdvanced Mathematical Theories and ApplicationsFractal and DNA sequence analysis