Note on some results of A.F. Horadam and A.G. Shannon concerning a Catalan's identity on Fibonacci numbers
Morgado, José (1987)
Portugaliae mathematica
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Displaying similar documents to “Some remarks on an identity of Catalan concerning the Fibonacci numbers”
Note on some results of A.F. Horadam and A.G. Shannon concerning a Catalan's identity on Fibonacci numbers
Generalization of a result of Hoggatt and Bergum on Fibonacci numbers
Morgado, José (1983-1984)
Portugaliae mathematica
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Generalization of a result of Morgado
Horadam, A.F. (1987)
Portugaliae mathematica
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Generalization of identities of Catalan and others
Horadam, A.F., Shannon, A.G. (1987)
Portugaliae mathematica
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One property of triangular numbers.
Deshpande, M.N. (1998)
Portugaliae Mathematica
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Note on a Shannon's theorem concerning the Fibonacci numbers and Diophantine quadruples
Morgado, José (1991)
Portugaliae mathematica
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Generalization of an identity involving the generalized Fibonacci numbers and its applications.
Mohammad Farrokhi, D.G. (2009)
Integers
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Fibonacci numbers and Diophantine quadruples: generalizations of results of Morgado and Horadam
Shannon, A.G. (1988)
Portugaliae mathematica
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Gelin-Cesáro identities for Fibonacci and Lucas quaternions
Ahmet Daşdemir (2019)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
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To date, many identities of different quaternions, including the Fibonacci and Lucas quaternions, have been investigated. In this study, we present Gelin-Cesáro identities for Fibonacci and Lucas quaternions. The identities are a worthy addition to the literature. Moreover, we give Catalan's identity for the Lucas quaternions.
An inequality for Fibonacci numbers
Horst Alzer, Florian Luca (2022)
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We extend an inequality for Fibonacci numbers published by P. G. Popescu and J. L. Díaz-Barrero in 2006.
A generalization of the Cassini formula
Alexey Stakhov (2012)
Visual Mathematics
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On binomial sums for the general second order linear recurrence.
Kiliç, Emrah, Tan, Elif (2010)
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