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Binominal transforms of k-Jacobsthal sequences
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ON THE QUADRA MERSENNE-JACOBSTHAL, QUADRA MERSENNE-PELL AND RELATED QUATERNION SEQUENCES
Gül Özkan Kızılırmak +1 more
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The (s, t)-Generalized Jacobsthal Matrix Sequences
In this study, we consider sequences named (s, t)-Jacobsthal, (s, t)-Jacobsthal–Lucas and defined generalized (s, t)-Jacobsthal integer sequences. After that, by using these sequences, we define generalized (s, t)-Jacobsthal matrix sequence in which it generalizes (s, t)-Jacobsthal matrix sequence, (s, t)-Jacobsthal–Lucas matrix sequence at the same ...
Uygun, Sukran, Uslu, Kemal
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The adjacency-Jacobsthal-Hurwitz sequences in groups
Communications in Algebra, 2018In [3], Deveci and Akuzum defined the adjacency-Jacobsthal-Hurwitz sequences of the first and second kind. In this work, firstly we produce the cyclic groups from the multiplicative orders of the generating matrices of the adjacency-Jacobsthal-Hurwitz sequences of the first and second kind when read modulo and we study the adjacency-Jacobsthal-Hurwitz ...
Omur Deveci, Erdal Karaduman
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THE ADJACENCY-JACOBSTHAL SEQUENCE IN FINITE GROUPS
The adjacency-Jacobsthal sequence and the adjacency-Jacobsthal matrix were defined by Deveci and Artun (see [5]). In this work, we consider the cyclic groups which are generated by the multiplicative orders of the adjacency-Jacobsthal matrix when read modulo alpha (alpha > 1).
Akuzum, Yesim +2 more
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