Abstract: 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.
A. D. Godase, "Some Binomial Sums of k-Pell, k-Pell-Lucas and Modified k-Pell Numbers," Proof, vol. 4, pp. 150-157, 2024, DOI:10.37394/232020.2024.4.15
A. D. Godase. Some Binomial Sums of k-Pell, k-Pell-Lucas and Modified k-Pell Numbers.
Proof. 2024;4:150-157. 10.37394/232020.2024.4.15