Kunle Adegoke

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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 2018 · math.NTShow all

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math.NT2018★ 3 cited

Fibonacci and Lucas Identities the Golden Way

Kunle Adegoke

By expressing Fibonacci and Lucas numbers in terms of the powers of the golden ratio, $α = (1 + 5) /2$ and its inverse, $β = - 1/ α = (1 - 5) /2$ , a multitude of Fibonacci and Lucas…

math.NT2018★ 1 cited

Linear Properties of Generalized $n$ -step Fibonacci Numbers

Kunle Adegoke

We present numerous interesting, mostly new, results involving the $n$ -step Fibonacci numbers and $n$ -step Lucas numbers and a generalization. Properties considered include recurre…

math.NT2018★ 13 cited

Weighted sums of some second-order sequences

Kunle Adegoke

We derive weighted summation identities involving the second order recurrence sequence ${w_{n}} = {w_{n} (a, b; p, q)}$ defined by $w_0 = a,\,w_1 = b;\,w_n = pw_{n - 1} - qw_{n - 2}\…

Fibonacci and Lucas Identities the Golden Way

Linear Properties of Generalized n-step Fibonacci Numbers

Weighted sums of some second-order sequences

Linear Properties of Generalized $n$ -step Fibonacci Numbers