# Difference between revisions of "Paper:David Zeitlin/On Identities for Fibonacci Numbers"

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[[Fibonacci numbers]]<br /> | [[Fibonacci numbers]]<br /> | ||

+ | [[F(n)F(n+2)-F(n+1)^2=(-1)^(n+1)]]<br /> | ||

+ | [[F(m+h)F(m+k)-F(m)F(m+h+k)=(-1)^mF(h)F(k)]]<br /> | ||

+ | [[F(m)=F(k+1)F(m-k)+F(k)F(m-k-1)]]<br /> | ||

[[Category:Paper]] | [[Category:Paper]] |

## Latest revision as of 13:12, 1 August 2018

## David Zeitlin: *On Identities for Fibonacci Numbers*

Published $1963$, **The American Mathematical Monthly**.

Fibonacci numbers

F(n)F(n+2)-F(n+1)^2=(-1)^(n+1)

F(m+h)F(m+k)-F(m)F(m+h+k)=(-1)^mF(h)F(k)

F(m)=F(k+1)F(m-k)+F(k)F(m-k-1)