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2022, vol. 26, br. 1, str. 77-88
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The complex-type Padovan-p sequences
(naslov ne postoji na srpskom)
aKafkas University, Faculty of Science and Letters, Department of Mathematics, Kars, Turkey bPamukkale University, Faculty of Science and Arts, Department of Mathematics, Denizli, Turkey
e-adresa: ozgur_erdag@hotmail.com, shalici@pau.edu.tr, odeveci36@hotmail.com
Sažetak
(ne postoji na srpskom)
In this paper, we define the complex-type Padovan-p sequence and then give the relationships between the Padovan-p numbers and the complex-type Padovan-p numbers. Also, we provide a new Binet formula and a new combinatorial representation of the complex-type Padovan-p numbers by the aid of the nth power of the generating matrix of the complex-type Padovan-p sequence. In addition, we derive various properties of the complex-type Padovan-p numbers such as the permanental, determinantal and exponential representations and the finite sums by matrix methods.
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