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Let α,β\alpha,\beta α,β be the roots of the equation x2−x−1=0x^2-x-1=0x2−x−1=0.
Let a2n=α2n+β2na_{2n}={\alpha}^{2n}+{\beta}^{2n} a2n=α2n+β2n where n≥1n\geq1n≥1 and nnn is a natural number.
What is the value of a20+a22a_{20}+a_{22} a20+a22?
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