In this study, we define a new generalization of the hybrid k-Pell sequence consisting of hybrid numbers with generalized hybrid k-Pell numbers as coefficients. We establish some algebraic properties and also the Binet formula, generating function, and exponential generating function related to this new sequence. In addition, some identities are provided as sum identities, and Catalan, Cassini, and d'Ocagne's identities. The particular cases are studied, namely, the hybrid numbers with hybrid k-Pell numbers as coefficients, the hybrid numbers with hybrid k-Pell--Lucas numbers as coefficients, and the hybrid numbers with hybrid Modified k-Pell numbers as coefficients.
Spreafico et al. (Fri,) studied this question.
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