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http://hdl.handle.net/10553/118965
Title: | Iterated Partial Sums of the k-Fibonacci Sequences | Authors: | Falcón Santana, Sergio Plaza De La Hoz, Ángel |
UNESCO Clasification: | 12 Matemáticas | Keywords: | partial sums k-Fibonacci sequences |
Issue Date: | 2022 | Journal: | Axioms | Abstract: | In this paper, we find the sequence of partial sums of the k-Fibonacci sequence, say, Sk,n=∑j=1nFk,j, and then we find the sequence of partial sums of this new sequence, S2)k,n=∑j=1nSk,j, and so on. The iterated partial sums of k-Fibonacci numbers are given as a function of k-Fibonacci numbers, in powers of k, and in a recursive way. We finish the topic by indicating a formula to find the first terms of these sequences from the k-Fibonacci numbers themselves. | URI: | http://hdl.handle.net/10553/118965 | ISSN: | 2075-1680 | DOI: | 10.3390/axioms11100542 | Source: | Axioms 11, no. 10: 542 |
Appears in Collections: | Artículos |
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