A new statistic on linear and circular -mino arrangements.
Shattuck, Mark A., Wagner, Carl G. (2006)
The Electronic Journal of Combinatorics [electronic only]
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Displaying similar documents to “Some generalized Fibonacci polynomials.”
A new statistic on linear and circular -mino arrangements.
Periodicity and parity theorems for a statistic on -mino arrangements.
Shattuck, Mark A., Wagner, Carl G. (2006)
Journal of Integer Sequences [electronic only]
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Combinatorial proofs of some Moriarty-type binomial coefficient identities.
Shattuck, Mark (2006)
Integers
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Extended Fibonacci numbers and polynomials with probability applications.
Antzoulakos, Demetrios L. (2004)
International Journal of Mathematics and Mathematical Sciences
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A generalization of the Cassini formula
Alexey Stakhov (2012)
Visual Mathematics
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Parity theorems for statistics on domino arrangements.
Shattuck, Mark A., Wagner, Carl G. (2005)
The Electronic Journal of Combinatorics [electronic only]
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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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Combinatorial interpretations of binomial coefficient analogues related to Lucas sequences.
Sagan, Bruce E., Savage, Carla D. (2010)
Integers
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On generalized Fibonacci polynomials and Bernoulli numbers.
Zhang, Tianping, Ma, Yuankui (2005)
Journal of Integer Sequences [electronic only]
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An inequality for Fibonacci numbers
Horst Alzer, Florian Luca (2022)
Mathematica Bohemica
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We extend an inequality for Fibonacci numbers published by P. G. Popescu and J. L. Díaz-Barrero in 2006.
A note on Fibonacci-type polynomials.
Amdeberhan, Tewodros (2010)
Integers
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On binomial sums for the general second order linear recurrence.
Kiliç, Emrah, Tan, Elif (2010)
Integers
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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.
Aviezri Fraenkel's work in number theory.
Simpson, Jamie (2001)
The Electronic Journal of Combinatorics [electronic only]
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