The proof of a formula concerning the asymptotic behavior of the reciprocal sum of the square of multiple-angle Fibonacci numbers
Abstract Let ( F n ) n $(F_{n})_{n}$ be the Fibonacci sequence defined by F n + 2 = F n + 1 + F n $F_{n+2}=F_{n+1}+F_{n}$ with F 0 = 0 $F_{0}=0$ and F 1 = 1 $F_{1}=1$ . In this paper, we prove that for any integer m ≥ 1 $m\geq 1$ there exists a positive constant C m $C_{m}$ for which lim n → ∞ { ( ∑...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2022-01-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13660-022-02755-7 |