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)
