O. Layeni

collaborators

3 papers

math.GM2024

On the Sum of the Sixth Powers of Fibonacci Numbers

Kunle Adegoke, Olawanle Layeni

Let $(G_{k})_{k \in Z}$ be any sequence obeying the recurrence relation of the Fibonacci numbers. We derive formulas for $\sum_{j = 1}^{n} G_{j + t}^{6}$ and $\sum_{j=1}^n{(-1)^{j -…

math.NT2016

A class of digit extraction BBP-type formulas in general binary bases

Kunle Adegoke, Jaume Oliver Lafont, Olawanle Layeni

BBP-type formulas are usually discovered experimentally, one at a time and in specific bases, through computer searches. In this paper, however, we derive directly, without doing a…

math.NT2016

The higher derivatives of the inverse tangent function and rapidly convergent BBP-type formulas

Kunle Adegoke, Olawanle Layeni

We give a closed formula for the $n^{t h}$ derivative of $arctan x$ . A new expansion for $arctan x$ is also obtained and rapidly convergent series for $π$ and $π 3$ are deriv…