The Fibonacci Numbers—Exposed More Discretely

By Arthur T. Benjamin, Jennifer J. Quinn. 2003

64 citations recorded by the source corpus.

Subfields: Geometry and Topology, Statistical and Nonlinear Physics, Theoretical Computer Science

View Paper: https://www.semanticscholar.org/paper/3a1d27fe733841cc10349f320c9a108b94a3deea

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. Ángel Plaza
2. Sergio Falcón

In Statistical and Nonlinear Physics

1. Sergio Falcón
2. Ángel Plaza
3. Paula Maria Machado Cruz Catarino
4. José Luis Ramírez
5. Ayse Nalli
6. Pentti Haukkanen
7. Sedigheh Sabermahani
8. Yadollah Ordokhani

In Theoretical Computer Science

1. Ángel Plaza
2. Sergio Falcón

Citations in the corpus

• On the Fibonacci k-numbers (2007, background): “In the present days there is a huge interest of modern science in the application of the Golden Section and Fibonacci numbers [1–19].”
• On the k-Lucas Numbers (2011, unknown): “Lk,n = k Lk,n−1 + Lk,n−2 = k(Fk,n−2 + Fk,n) + Fk,n−3 + Fk,n−1 = (k Fk,n−2 + Fk,n−3) + (k Fk,n + Fk,n−1) = Fk,n−1 + Fk,n+1 If k = 1, then it is Ln = Fn−1 + Fn+1 [2].”