Fascinating Number Sequences from Fourth Order Difference Equation Via Quaternion Algebras
The balancing and Lucas-balancing numbers are solutions of second order recurrence relations. A linear combination of these numbers can also be obtained as solutions of a fourth order recurrence relation. This recurrence relation can be extended to generalized quaternion algebras. Also, the fourth o...
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| Format: | Article |
| Language: | English |
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University of Zielona Góra
2021-11-01
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| Series: | Discussiones Mathematicae - General Algebra and Applications |
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| Online Access: | https://doi.org/10.7151/dmgaa.1369 |