Kunle Adegoke

most citedA master identity for Horadam numbers

2 citations · 3 across the 4 of their papers we have counts for

collaborators

4 papers

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…

math.GM2018

Squares of Fibonacci-Like Numbers

Kunle Adegoke, Tokunbo Omiyinka

We derive a general recurrence relation for squares of Fibonacci-like numbers. Various properties are developed, including double binomial summation identites.