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Title: | Binomial sum relations involving Fibonacci and Lucas numbers |
Authors: | Гой, Тарас Петрович Adegoke, Kunle Frontczak, Mark |
Keywords: | binomial coefficient central binomial coefficient Horadam sequence recurrence relation Fibonacci number Lucas number |
Issue Date: | 2023 |
Citation: | Adegoke K., Frontczak R., Goy T. Binomial sum relations involving Fibonacci and Lucas numbers. Prepnint arXiv: 2310.03045v1. 2023. 41 p. |
Abstract: | In this paper, we introduce relations between binomial sums involving (generalized) Fibonacci and Lucas numbers, and different kinds of binomial coefficients. We also present some relations between sums with two and three binomial coefficients. In the course of exploration we rediscover a few relations presented as problem proposals. |
URI: | http://hdl.handle.net/123456789/17915 |
Appears in Collections: | Статті та тези (ФМІ) |
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File | Description | Size | Format | |
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2310.03045.pdf | 295.84 kB | Adobe PDF | View/Open |
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