T. Goy

activity

20202026

most citedMore Fibonacci-Bernoulli relations with and without balancing polynomials

6 citations · 18 across the 20 of their papers we have counts for

collaborators

Showing 2023Show all

5 papers · 1 filter

math.CO2023

Fibonacci sums modulo 5

Kunle Adegoke, Robert Frontczak, Taras Goy

We develop closed form expressions for various finite binomial Fibonacci and Lucas sums depending on the modulo 5 nature of the upper summation limit. Our expressions are inferred…

math.CO2023

Binomial sum relations involving Fibonacci and Lucas numbers

Kunle Adegoke, Robert Frontczak, Taras Goy

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…

math.CO2023★ 2 cited

Binomial Fibonacci sums from Chebyshev polynomials

Kunle Adegoke, Robert Frontczak, Taras Goy

We explore new types of binomial sums with Fibonacci and Lucas numbers. The binomial coefficients under consideration are $\frac{n}{n + k} (n - k n + k)$ and $\frac{k}{n+k}\binom{n…

math.CO2023

On some series involving the binomial coefficients $(n 3 n)$

Kunle Adegoke, Robert Frontczak, Taras Goy

Using a simple transformation, we obtain much simpler forms for some series involving binomial coefficients $(n 3 n)$ derived by Necdet Batir. New evaluations are given; and co…

math.CO2023

Series and sums involving the floor function

Kunle Adegoke, Robert Frontczak, Taras Goy

Let $(a_{n})_{n \geq 0}$ be an arbitrary sequence and $(a_{⌊ n / k ⌋})_{n \geq 0}$ its dual floor sequence. We study infinite series and finite generalized binomial sums invo…

Fibonacci sums modulo 5

Binomial sum relations involving Fibonacci and Lucas numbers

Binomial Fibonacci sums from Chebyshev polynomials

On some series involving the binomial coefficients (n3n​)

Series and sums involving the floor function

On some series involving the binomial coefficients $(n 3 n)$