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This article presents an innovative and efficient approach for computing linear recurrences, offering a powerful and versatile solution to solve these complex mathematical problems. The proposed approach is based on a set of general formulas that effectively provide the equations and generating functions capable of producing, in the form of sequences, the real or complex numerical values of these linear recurrences. Readers are encouraged to visit the website https://eric-jacob.com for more information and to access the online equation computing tool for all kinds of recurrent sequences. |