The American Mathematical Monthly

1961

DOI: 10.1080/00029890.1961.11989696

|View full text |Cite

|

Sign up to set email alerts

|

A Generalized Fibonacci Sequence

¹

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Introduction4

Sum Of1

Citation Types

Supporting

0

Mentioning

79

Contrasting

0

Unclassified

1

Year Published

2011

2011

2024

2024

Publication Types

Select...

Article8

Book2

Relationship

Self Cite0

Independent10

Authors

Journals

Cited by 219 publications

(80 citation statements)

References 0 publications

Supporting

0

Mentioning

79

Contrasting

0

Unclassified

1

Order By: Relevance

“…Now we state and prove some nice identities similar to those obtained for Fibonacci and Lucas sequences [1], [2], [4], and [12] …”

Section: Sum Ofmentioning

confidence: 79%

Generalized Fibonacci – Lucas sequence its Properties

²

,

2014

Global Journal of Mathematical Analysis

View full text Add to dashboard Cite

Sequences have been fascinating topic for mathematicians for centuries. The Fibonacci sequences are a source of many nice and interesting identities. A similar interpretation exists for Lucas sequence. The Fibonacci number, Lucas numbers and their generalization have many interesting properties and applications to almost every field. Fibonacci sequence is defined by the recurrence formula F

“…Now we state and prove some nice identities similar to those obtained for Fibonacci and Lucas sequences [1], [2], [4], and [12] …”

Section: Sum Ofmentioning

confidence: 79%

Generalized Fibonacci – Lucas sequence its Properties

²

,

2014

Global Journal of Mathematical Analysis

View full text Add to dashboard Cite

Sequences have been fascinating topic for mathematicians for centuries. The Fibonacci sequences are a source of many nice and interesting identities. A similar interpretation exists for Lucas sequence. The Fibonacci number, Lucas numbers and their generalization have many interesting properties and applications to almost every field. Fibonacci sequence is defined by the recurrence formula F

“…. .. We also observe so-called generalized Fibonacci numbers, {F = b, (see for example [18], [16], [25], [19,Chapter 7]). …”

Section: Introductionmentioning

confidence: 99%

Singular Case of Generalized Fibonacci and Lucas Matrices

Miladinović¹,

Stanimirović²

2011

Journal of the Korean Mathematical Society

View full text Add to dashboard Cite

Abstract. The notion of the generalized Fibonacci matrix F

“…There exist generalizations of the classical Fibonacci numbers given by many researchers as Horadam [4] and recently by Falcon and Plaza [3].…”

Section: Introductionmentioning

confidence: 99%

Some new formulas on the K-Fibonacci numbers

¹

2018

View full text Add to dashboard Cite

I S S N 2 3 4 7 -1 9 2 1 V o l u m e 1 4 N u m b e r 1 J o u r n a l o f A d v a n c e s i n M a t h e m a t i c s 7439 | P a g e J a n u a r y 2 0 1 8 w w w . c i r w o r l d . c o m SOME NEW FORMULAS ON THE K-FIBONACCI NUMBERS Sergio FalconDepatment of Mathematics University of Las Palmas de Gran Canaria (Spain) sergio.falcon@ulpgc.es ABSTRACT In this paper, we find some formulas for finding some special sums of the k-Fibonacci or the k-Lucas numbers. We find also some formulas that relate the k-Fibonacci or the k--Lucas numbers to some sums of these numbers..

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

customersupport@researchsolutions.com

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

Product

Browser Extension Assistant by scite Citation Statement Search Reference Check Visualizations Dashboards Explore Journals Explore Organizations Explore Funders Embedding Badge Embedding Citation Search Pricing

Resources

Blog Help & FAQ Accessibility Statement API Terms For Universities & Governments For Researchers For Publishers For Corporate, Pharma & Enterprise Author Marketing Become an Affiliate Get an organization trial or quote scite Data & Services

About

News & Press Careers Read our Paper Coverage

This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Copyright © 2024 scite LLC. All rights reserved.

Made with 💙 for researchers

Part of the Research Solutions Family.