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Research Article Open access CC BY 4.0

Gaussian Generalized Guglielmo Numbers

Bahadır Yılmaz, Yüksel Soykan

Asian Journal of Advanced Research and Reports · pp. 1–18 · Published 6 Nov 2023

10.9734/ajarr/2023/v17i12581

Abstract

In this study, we define Gaussian generalized Guglielmo numbers in detail, and focus on four specific cases: Gaussian triangular numbers, Gaussian triangular-Lucas numbers, Gaussian oblong numbers, and Gaussian pentagonal numbers. In addition, we present some identities and matrices related to these sequences, as well as recurrence relations, Binet’s formulas, generating functions, Simpson’s formulas, and summation formulas.

Gaussian triangular numbers Gaussian oblong numbers Gaussian pentegonal numbers triangular numbers oblong numbers pentegonal numbers

References (22)

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Cited by 3

Uma Nota sobre os Números Multifigurados Quadrados-Nonagonais.

Francisco Hedyleno Coelho Bezerra, F. R. Vieira Alves, E. A. Da Costa · Intermaths · 2025

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