Deformations of the Taylor formula.
Ferrand, Emmanuel (2007)
Journal of Integer Sequences [electronic only]
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Displaying similar documents to “On the growth rate of generalized Fibonacci numbers.”
Deformations of the Taylor formula.
On binomial sums for the general second order linear recurrence.
Kiliç, Emrah, Tan, Elif (2010)
Integers
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On useful schema in survival analysis after heart attack
Czesław Stępniak (2014)
Discussiones Mathematicae Probability and Statistics
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Recent model of lifetime after a heart attack involves some integer coefficients. Our goal is to get these coefficients in simple way and transparent form. To this aim we construct a schema according to a rule which combines the ideas used in the Pascal triangle and the generalized Fibonacci and Lucas numbers
Several generating functions for second-order recurrence sequences.
Mező, István (2009)
Journal of Integer Sequences [electronic only]
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Implications of Spivey's Bell number formula.
Gould, H.W., Quaintance, Jocelyn (2008)
Journal of Integer Sequences [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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A dual approach to triangle sequences: a multidimensional continued fraction algorithm.
Assaf, Sami, Chen, Li-Chung, Cheslack-Postava, Tegan, Cooper, Benjamin, Diesl, Alexander, Garrity, Thomas, Lepinski, Mathew, Schuyle, Adam (2005)
Integers
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On the central coefficients of Bell matrices.
Barry, Paul (2011)
Journal of Integer Sequences [electronic only]
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A generalization of the Cassini formula
Alexey Stakhov (2012)
Visual Mathematics
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On integer-sequence-based constructions of generalized Pascal triangles.
Barry, Paul (2006)
Journal of Integer Sequences [electronic only]
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A formula for the generating functions of powers of Horadam's sequence with two additional parameters.
Kılıç, Emrah, Ulutaş, Yücel Türker, Ömür, Neşe (2011)
Journal of Integer Sequences [electronic only]
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Elementary sequences.
Beslin, Scott J. (1992)
International Journal of Mathematics and Mathematical Sciences
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Algebraic relations for reciprocal sums of Fibonacci numbers
Carsten Elsner, Shun Shimomura, Iekata Shiokawa (2007)
Acta Arithmetica
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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.