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I have a squence similar to the Fibonacci sequence

$${a}{\left({\mathtt{n}}\right)} = {\mathtt{3}}{\mathtt{\,\times\,}}\left({a}{\left({\mathtt{n}}{\mathtt{\,-\,}}{\mathtt{1}}\right)}{\mathtt{\,\small\textbf+\,}}{a}{\left({\mathtt{n}}{\mathtt{\,-\,}}{\mathtt{2}}\right)}{\mathtt{\,-\,}}{a}{\left({\mathtt{n}}{\mathtt{\,-\,}}{\mathtt{3}}\right)}\right)$$

And I know that the Fibonacci sequence could be reduced to

F_{n} = \cfrac{\varphi^n-(-\varphi)^{-n}}{\sqrt{5}}.

Can the first sequence be reduced similarly to the fibonachi sequence

 
 Aug 21, 2015

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