A bijective proof of Cassini's Fibonacci identity
type: Item
instance of: scholarly article
title: A bijective proof of Cassini's Fibonacci identity
zbMATH Open document ID: 0578.05004
DOI: 10.1016/0012-365X(86)90194-9
published in: Discrete Mathematics
publication date: 1986-01-01T00:00:00Z
review text: The authors provide a short combinatorial proof of the identity \(F^ 2_{n+1}-F_{n+2}F_ n=(-1)^{n+1}\), where \(F_ n\) denotes the n-th Fibonacci number.
reviewed by: H.Kröger
Mathematics Subject Classification ID: 05A19
Mathematics Subject Classification ID: 11B37
zbMATH DE Number: 3924785
zbMATH Keywords: combinatorial proof
zbMATH Keywords: Fibonacci number
Wikidata QID: Q61067909
author: Michael Werman
author: Doron Zeilberger
MaRDI profile type: Publication
cites work: Q4057549
description: scientific article; zbMATH DE number 3924785