A little twist

Algebra Level 5

If α,β\alpha ,\beta are the roots of 2x25x+1=02x^{2}-5x+1=0 and Sn=(α)2n+(β)2nS_{n}=(\alpha)^{2n}+(\beta)^{2n} then 4S2017+S2015S2016 \large \frac{ 4 S_{2017} +S_{2015} } {S_{2016}} is:

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