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Sylvester-Padovan-Jacobsthal-type sequences |
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| รหัสดีโอไอ | |
| Creator | Yesim Akuzum |
| Title | Sylvester-Padovan-Jacobsthal-type sequences |
| Contributor | Omur Deveci |
| Publisher | Maejo University |
| Publication Year | 2560 |
| Journal Title | Maejo International Journal of Science and Technology |
| Journal Vol. | 11 |
| Journal No. | 3 |
| Page no. | 236 |
| Keyword | Sylvester matrix, Padovan sequence, Jacobsthal sequence |
| Website title | Maejo International Journal of Science and Technology |
| ISSN | 1905-7873 |
| Abstract | We define Sylvester-Padovan-Jacobsthal-type sequences of the first and second kinds via the Sylvester matrices which are obtained from the characteristic polynomials of Padovan and Jacobsthal sequences, and then we give miscellaneous properties of these sequences. Also, we obtain cyclic groups and semigroups from the multiplicative order of the generator matrices of the Sylvester-Padovan-Jacobsthal-type sequences of the first-kind and second-kind modulo m. Then we derive relationships between the orders of the cyclic groups obtained and the periods of these sequences modulo m. |
