Two generalizations of dual-complex Lucas-balancing numbers

Dorota Bród; Anetta Szynal-Liana; Iwona Włoch

doi:10.2478/ausm-2022-0014

Abstract

In this paper, we study two generalizations of dual-complex Lucas-balancing numbers: dual-complex k-Lucas balancing numbers and dual-complex k-Lucas-balancing numbers. We give some of their properties, among others the Binet formula, Catalan, Cassini, d’Ocagne identities.

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Two generalizations of dual-complex Lucas-balancing numbers

Abstract

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