Kunle Adegoke

activity

20152026

most citedWeighted sums of some second-order sequences

13 citations · 75 across the 82 of their papers we have counts for

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Showing 2019Show all

5 papers · 1 filter

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 $(w_{n}) = (w_{n} (a, b, c; r, s, t))$ defined by the recurrence relation $w_n = rw_{n - 1} + sw_{n - 2} + tw_{n - 3}\, (n \ge…

math.CO2019★ 1 cited

Partial sums and generating functions for powers of second order sequences with indices in arithmetic progression

Kunle Adegoke

The sums $\sum_{j = 0}^{k} u_{r j + s}^{2 n} z^{j}$ , $\sum_{j = 0}^{k} u_{r j + s}^{2 n - 1} z^{j}$ , $\sum_{j = 0}^{k} v_{r j + s}^{n} z^{j}$ and $\sum_{j = 0}^{k} w_{r j + s}^{n} z^{j}$ are evalu…

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.

math.GM2019

An Identity for Second Order Sequences Obeying the Same Recurrence Relation

Kunle Adegoke

We derive an identity connecting any two second-order linear recurrence sequences having the same recurrence relation but whose initial terms may be different. Binomial and ordinar…