Abdulzahra, A. A.; Hashim, H. R. On the solutions of the Lucas sequence equation \(\pm\frac{1}{V_n(P_2, Q_2)} = \sum_{k=1}^\infty\frac{U_{k-1}(P_1,Q_1)}{x^k}\). (English) Zbl 07894873 Malays. J. Math. Sci. 18, No. 2, 357-369 (2024). MSC: 11B39 11D25 11D45 × Cite Format Result Cite Review PDF Full Text: DOI
Hashim, Hayder R. Curious properties of generalized Lucas numbers. (English) Zbl 1479.11037 Bol. Soc. Mat. Mex., III. Ser. 27, No. 3, Paper No. 76, 10 p. (2021). MSC: 11B39 11D45 × Cite Format Result Cite Review PDF Full Text: DOI
Hong, Dae S. When is the generating function of the Fibonacci numbers an integer? (English) Zbl 1406.97008 Coll. Math. J. 46, No. 2, 110-112 (2015). MSC: 97F60 11B39 × Cite Format Result Cite Review PDF Full Text: DOI
Tengely, Szabolcs On the Lucas sequence equation \(\frac{1}{U_n}=\sum_{k=1}^{\infty} \frac{U_{k-1}}{x^k} \). (English) Zbl 1374.11027 Period. Math. Hung. 71, No. 2, 236-242 (2015). MSC: 11B39 11D25 × Cite Format Result Cite Review PDF Full Text: DOI