ON COMBINATORIAL IDENTITIES FOR R-GENERALIZED FIBONACCI SEQUENCES
DOI:
https://doi.org/10.34179/revisem.v9i3.21331Abstract
In this paper, we investigate combinatorial identities for r−generalized Fibonacci sequences. For this purpose, we established a combinatorial fundamental system related to the sequences of r−generalized Fibonacci type, and using the properties of the Casoratian matrix associated we obtain new combinatorial identities. Moreover, some special cases are studied and new general combinatorial identities are provided for these special sequences of numbers.
Keywords: Fundamental System, Properties, Combinatorial Identities.
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Published
2024-10-14
How to Cite
Silva, R. L., & Pereira Spreafico, E. V. (2024). ON COMBINATORIAL IDENTITIES FOR R-GENERALIZED FIBONACCI SEQUENCES. Revista Sergipana De Matemática E Educação Matemática, 9(3), 124–135. https://doi.org/10.34179/revisem.v9i3.21331
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Mathematics
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Copyright (c) 2024 Reginaldo Leoncio Silva, Elen Viviani Pereira Spreafico
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