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• F(n+m+1)=F(n+1)F(m+1)+F(n)F(m)
  where $F(n)$ denotes a [[Fibonacci numbers|Fibonacci number]]. ...Basin|author2=V.E. Hoggatt, Jr.|prev=F(2n)=F(n)L(n)|next=Sum of squares of Fibonacci numbers}} (uses $p$ instead of $m$)
  402 bytes (67 words) - 00:33, 25 May 2017
• L(n)^2-5F(n)^2=4(-1)^n
  ...|Lucas number]] and $F(n)$ denotes the $n$th [[Fibonacci numbers|Fibonacci number]]. * {{PaperReference|A Primer on the Fibonacci Sequence Part I|1963|S.L. Basin|author2=V.E. Hoggatt, Jr.|prev=F(n+m+1)=F(n
  437 bytes (76 words) - 00:37, 25 May 2017
• F(-n)=(-1)^(n+1)F(n)
  where $F(n)$ denotes the $n$th [[Fibonacci numbers|Fibonacci number]]. * {{PaperReference|On a General Fibonacci Identity|1965|John H. Halton|prev=Binet's formula|next=findme}}
  469 bytes (73 words) - 22:33, 25 May 2017
• L(-n)=(-1)^nL(n)
  where $L(n)$ denotes the $n$th [[Lucas numbers|Lucas number]]. * {{PaperReference|A Primer on the Fibonacci Sequence Part I|1963|S.L. Basin|author2=V.E. Hoggatt, Jr.|prev=F(-n)=(-1)^(
  342 bytes (54 words) - 00:39, 25 May 2017
• Golden ratio
  ...den ratio, $\varphi$, is the [[irrational]] [[algebraic number|algebraic]] number [[Limit of quotient of consecutive Fibonacci numbers]]<br />
  667 bytes (82 words) - 00:21, 24 May 2017

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