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Some Binomial Sums of k-Pell, k-Pell-Lucas and Modified k-Pell Numbers
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The main goal of this paper is to find some new identities containing k-Pell and k-Pell-Lucas numbers. In addition, we use these identities to prove binomial properties of k-Pell, k-Pell-Lucas, and modified k-Pell numbers. It is possible to prove some new properties of k-Pell, k-Pell-Lucas and modified k-Pell numbers based on the obtained results. The generated functions can also be expressed in closed form using them.
Title: Some Binomial Sums of k-Pell, k-Pell-Lucas and Modified k-Pell Numbers
Description:
The main goal of this paper is to find some new identities containing k-Pell and k-Pell-Lucas numbers.
In addition, we use these identities to prove binomial properties of k-Pell, k-Pell-Lucas, and modified k-Pell numbers.
It is possible to prove some new properties of k-Pell, k-Pell-Lucas and modified k-Pell numbers based on the obtained results.
The generated functions can also be expressed in closed form using them.
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