Generalized Fibonacci numbers and the problem of Diophantus

Fibonacci Quarterly

Volumn 34, Issue 2, 1996, Pages 164-175

  Dujella, Andrej ^a  

^a UNIVERSITY OF ZAGREB   (Croatia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030303975     PISSN: 00150517     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (13)

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2. 2." Quart. J. Math., Oxford Ser. (2), 20 (1969):129-37.
3. Diofant Aleksandriǐskiǐ. Arifmetika i kniga o mnogougol'nyh chislakh. Moscow: Nauka, 1974.
4. A. Dujella. "One Problem of Diophantus and Fibonacci Numbers." Matematika 19 (1990): 45-52 (in Croatian).
5. A. Dujella "Generalization of a Problem of Diophantus." Acta Arithmetica 65 (1993):15-27.
6. A. Dujella. "Diophantine Quadruples for Squares of Fibonacci and Lucas Numbers." Portugaliae Mathematica 52 (1995):305-18.
7. A. Dujella. "On the Diophantine Quintuples." In preparation.
8. V. E. Hoggatt, Jr., & G. E. Bergum. "A Problem of Fermat and the Fibonacci Sequence." The Fibonacci Quarterly 15.4 (1977):323-30.
9. A. F. Horadam. "Generating Functions for Powers of a Certain Generalized Sequence of Numbers." Duke Math. J. 32 (1965):437-46.
10. A. F. Horadam. "Generalization of a Result of Morgado." Portugaliae Mathematica 44 (1987):131-36.
11. A.F. Horadam & A. G. Shannon. "Generalization of Identities of Catalan and Others." Portugaliae Mathematica 44 (1987):137-48.
12. B. W. Jones. "A Variation on a Problem of Davenport and Diophantus." Quart. J. Math., Oxford Ser. (2), 27 (1976):349-53.
13. J. Morgado. "Nore on Some Results of A. F. Horadam and A. G. Shannon Concerning a Catalan's Identity on Fibonacci Numbers." Portugaliae Mathemetica 44 (1987):243-52.