Freeflows

Nested Function Iteration 2

For integers $ n $, let \[f(n) = \left\{ \begin{array}{cl} n^2 + 1 & \text{ if }n\text{ is odd}, \\ n^2 - 3n + 1 & \text{ if }n\text{ is even}.\end{array} \right.\]Find $ f(f(f(f(f(f(2)))))) $.

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-
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$\frac{a}{b}$
.
0
=
%

$a^n$
$a^{\circ}$
$a_n$
$\sqrt{}$
$\sqrt[n]{}$
$\pi$
$\ln{}$
$\log$
$\theta$
$\sin{}$
$\cos{}$
$\tan{}$

$($
$)$
$[$
$]$
$\cap$
$\cup$
$,$
$\infty$

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