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An integral representation of the generalized Fibonacci numbers
In this note, we present an integral representation of the k-generalized Fibonacci sequence and provide a proof using contour integration. This representation enables the derivation of several known identities and a Binet-type formula related to the k-generalized Fibonacci sequence. We sincerely thank the anonymous referees and the Editor for their careful reading of the manuscript and their valuable suggestions. We are also grateful to Prof.
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