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Abstract
In this work, we introduce a novel version of Padovan and Perrin numbers which we refer to as non-Newtonian Padovan and non-Newtonian Perrin numbers. Furthermore, we examine about a number of their properties. Additionally, we provide a variety of identities and formulae involving these new kinds, including the Binet-like formulae, the generating functions, the partial sum formulae, and the binomial sum formulae.
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