Bi-periodic incomplete Horadam numbers

Authors: ELİF TAN, MEHMET DAĞLI, AMINE BELKHIR

Abstract: In this paper, we introduce bi-periodic~incomplete~Horadam numbers as a natural generalization of incomplete Horadam numbers. We study their basic properties and provide recurrence relations. In particular, we derive the generating function of these numbers.

Keywords: Fibonacci sequence, Horadam sequence, bi-periodic Horadam sequence, bi-periodic incomplete Horadam sequence

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