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math.NT2019
Generalizations of Fibonacci-Lucas inverse tangent summation identities of Hoggatt and Ruggels
Kunle Adegoke
We derive generalizations of a couple of inverse tangent summation identities involving Fibonacci and Lucas numbers. As byproducts we establish many new inverse tangent identities…
math.NT2019★ 1 cited
Basic properties of a generalized third order sequence of numbers
Kunle Adegoke
We study the properties of the third order sequence defined by the recurrence relation $w_n = rw_{n - 1} + sw_{n - 2} + tw_{n - 3}\, (n \ge…
math.NT2019★ 2 cited
A master identity for Horadam numbers
Kunle Adegoke
We derive an identity involving Horadam numbers. Numerous new identities as well as those found in the existing literature are subsumed in this single identity.