2 citations · 4 across the 5 of their papers we have counts for
5 papers
On the Sum of the Sixth Powers of Fibonacci Numbers
Kunle Adegoke, Olawanle Layeni
Let be any sequence obeying the recurrence relation of the Fibonacci numbers. We derive formulas for and $\sum_{j=1}^n{(-1)^{j -…
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…
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 derivative of . A new expansion for is also obtained and rapidly convergent series for and are deriv…
The Standard Representation of the Symmetric Group over the Ring of Integers
Kunle Adegoke, Olawanle Layeni, Rauf Giwa +1
In this paper we give a Casimir Invariant for the Symmetric group . Furthermore we obtain and present, for the first time in the literature, explicit formulas for the matrices…
New Finite and Infinite Summation Identities Involving the Generalized Harmonic Numbers
Kunle Adegoke, Olawanle Layeni
We state and prove a general summation identity. The identity is then applied to derive various summation formulas involving the generalized harmonic numbers and related quantities…