On the Reciprocal Sums of Generalized Fibonacci-Like Sequence

Musraini M., Rustam Efendi, Endang Lily, Noor El Goldameir, Verrel Rievaldo Wijaya

Abstract


The Fibonacci and Lucas sequences have been generalized in many ways, some by preserving the initial conditions, and others by preserving the recurrence relation. One of them is defined by the relation B_n = B_{n−1} + B_{n−2}, n >= 2 with the initial condition B_0 = 2s, B_1 = s + 1 where s in Z. In this paper, we consider the reciprocal sums of B_n and B^2_n, with an established result that also involve Bn.


Keywords


Reciprocal sums; generalized Fibonacci-like sequence

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References


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DOI: http://dx.doi.org/10.12962/j24775401.v9i1.7895

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International Journal of Computing Science and Applied Mathematics by Pusat Publikasi Ilmiah LPPM, Institut Teknologi Sepuluh Nopember is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
Based on a work at https://iptek.its.ac.id/index.php/ijcsam.