A little twist

Algebra Level 5

If \(\alpha ,\beta\) are the roots of \(2x^{2}-5x+1=0\) and \(S_{n}=(\alpha)^{2n}+(\beta)^{2n} \) then \( \large \frac{ 4 S_{2017} +S_{2015} } {S_{2016}} \) is:

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