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http://hdl.handle.net/10553/71802
| Title: | Binomial transform of the generalized k-Fibonacci numbers | Authors: | Falcon, Sergio | UNESCO Clasification: | 120504 Teoría elemental de los números | Keywords: | K-Fibonacci numbers Generalization of the K -Fibonacci numbers Generating function Binomial transform |
Issue Date: | 2019 | Journal: | Communications In Mathematics And Applications | Abstract: | We recall the concept and some properties of the generalized k-Fibonacci numbers and then apply the binomial transform to these sequences. As consequence, we obtain new integer sequences related to the generalized k -Fibonacci numbers. Finally, we find the recurrence relation of these new sequences and the formulas for their sums. | URI: | http://hdl.handle.net/10553/71802 | ISSN: | 0976-5905 | DOI: | 10.26713/cma.v10i3.1221 | Source: | Communications In Mathematics And Applications [ISSN 0976-5905], v. 10 (3), p. 643-651, (2019) |
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