Puangjumpa, Piyanut Some \(k\)-Fibonacci and \(k\)-Lucas identities by a matrix approach with applications. (English) Zbl 1511.11021 Thai J. Math. 20, No. 1, 417-423 (2022). MSC: 11B39 11D09 PDF BibTeX XML Cite \textit{P. Puangjumpa}, Thai J. Math. 20, No. 1, 417--423 (2022; Zbl 1511.11021) Full Text: Link
Soykan, Yüksel A study on sums of cubes of generalized Fibonacci numbers: closed formulas of \(\Sigma^n_{k=0} x^kW^3_k\) and \(\Sigma^n_{k=1} x^kW^3_{-k}\). (English) Zbl 1504.11022 Int. J. Adv. Appl. Math. Mech. 8, No. 3, 9-23 (2021). MSC: 11B37 11B39 11B83 PDF BibTeX XML Cite \textit{Y. Soykan}, Int. J. Adv. Appl. Math. Mech. 8, No. 3, 9--23 (2021; Zbl 1504.11022) Full Text: Link
Cerda-Morales, Gamaliel An interesting generalized Fibonacci sequence: a two-by-two matrix representation. (English) Zbl 1488.11036 Afr. Mat. 32, No. 5-6, 695-705 (2021). MSC: 11B39 40C05 PDF BibTeX XML Cite \textit{G. Cerda-Morales}, Afr. Mat. 32, No. 5--6, 695--705 (2021; Zbl 1488.11036) Full Text: DOI
Soykan, Yüksel Horadam numbers: sum of the squares of terms of sequence. (English) Zbl 1465.11052 Int. J. Adv. Appl. Math. Mech. 7, No. 4, 34-50 (2020). MSC: 11B37 11B39 PDF BibTeX XML Cite \textit{Y. Soykan}, Int. J. Adv. Appl. Math. Mech. 7, No. 4, 34--50 (2020; Zbl 1465.11052) Full Text: Link
Soykan, Yüksel On generalized 4-primes numbers. (English) Zbl 1465.11070 Int. J. Adv. Appl. Math. Mech. 7, No. 4, 20-33 (2020). MSC: 11B39 11B83 PDF BibTeX XML Cite \textit{Y. Soykan}, Int. J. Adv. Appl. Math. Mech. 7, No. 4, 20--33 (2020; Zbl 1465.11070) Full Text: Link
Soykan, Yüksel Generalized tribonacci numbers: summing formulas. (English) Zbl 1465.11069 Int. J. Adv. Appl. Math. Mech. 7, No. 3, 57-76 (2020). MSC: 11B39 PDF BibTeX XML Cite \textit{Y. Soykan}, Int. J. Adv. Appl. Math. Mech. 7, No. 3, 57--76 (2020; Zbl 1465.11069) Full Text: Link
Soykan, Yüksel On generalized Narayana numbers. (English) Zbl 1465.11068 Int. J. Adv. Appl. Math. Mech. 7, No. 3, 43-56 (2020). MSC: 11B39 11B83 PDF BibTeX XML Cite \textit{Y. Soykan}, Int. J. Adv. Appl. Math. Mech. 7, No. 3, 43--56 (2020; Zbl 1465.11068) Full Text: Link
Soykan, Yüksel On generalized tetranacci numbers. Closed form formulas of the sum \(\sum_{k=0}^n W_k^2\) of the squares of terms. (English) Zbl 1465.11064 Int. J. Adv. Appl. Math. Mech. 8, No. 1, 15-26 (2020). MSC: 11B39 PDF BibTeX XML Cite \textit{Y. Soykan}, Int. J. Adv. Appl. Math. Mech. 8, No. 1, 15--26 (2020; Zbl 1465.11064) Full Text: Link
Soykan, Yüksel Simson identity of generalized \(m\)-step Fibonacci numbers. (English) Zbl 1465.11066 Int. J. Adv. Appl. Math. Mech. 7, No. 2, 45-56 (2019). MSC: 11B39 PDF BibTeX XML Cite \textit{Y. Soykan}, Int. J. Adv. Appl. Math. Mech. 7, No. 2, 45--56 (2019; Zbl 1465.11066) Full Text: arXiv Link
Godase, A. D. Properties of \(k\)-Fibonacci and \(k\)-Lucas octonions. (English) Zbl 1448.11034 Indian J. Pure Appl. Math. 50, No. 4, 979-998 (2019). MSC: 11B39 PDF BibTeX XML Cite \textit{A. D. Godase}, Indian J. Pure Appl. Math. 50, No. 4, 979--998 (2019; Zbl 1448.11034) Full Text: DOI