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Using a simple transformation, we obtain much simpler forms for some series involving binomial coefficients 3nn derived by Necdet Batır. New evaluations are given and connections with Fibonacci numbers and the golden ratio are established. Finally we derive some Fibonacci and Lucas series involving the reciprocals of 3nn.
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Adegoke et al. (Mon,) studied this question.
synapsesocial.com/papers/68e694aeb6db64358761ae64 — DOI: https://doi.org/10.7546/nntdm.2024.30.2.319-334
Kunle Adegoke
Obafemi Awolowo University
Robert Frontczak
Reutlingen University
Taras Goy
Vasyl Stefanyk Precarpathian National University
Notes on Number Theory and Discrete Mathematics
Obafemi Awolowo University
Reutlingen University
Vasyl Stefanyk Precarpathian National University
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