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THE GRADED GENERALIZED FIBONACCI SEQUENCE AND BINET FORMULA

Far East Journal of Mathematical Sciences (FJMS), 2017
Won Sang Chung, Minji Han, Jae Yoon Kim
openaire   +1 more source

New Proofs of Binet’s Formulas Using The Lucas Q-Matrix

Panamerican Mathematical Journal
The Fibonacci and Lucas sequences play a fundamental role in Number Theory and have deep connections with Linear Algebra and Matrix Theory. This paper explores an alternative approach to proving Binet’s formulas for these sequences using the Lucas -matrix, denoted by .
openaire   +1 more source

ON THE GENERALIZED BINET FORMULAS OF THE k-PADOVAN NUMBERS

Far East Journal of Mathematical Sciences (FJMS), 2016
openaire   +1 more source

Approximation of ∞-Generalized Fibonacci Sequences and Their Asymptotic Binet Formula

The Fibonacci Quarterly, 2001
Benaissa Bernoussi   +3 more
openaire   +1 more source

Binet-Like Formulas From a Simple Expansion

The Fibonacci Quarterly, 2011
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The Binet formula for the k-generalized Fibonacci numbers.

Ars Comb., 2014
Sheng-Liang Yang, Hui-ting Zhang
openaire  

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