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Recurrence Relationshard
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A sequence satisfies an=an−1+an−2+an−3a_n = a_{n-1} + a_{n-2} + a_{n-3}an​=an−1​+an−2​+an−3​. Let α,β,γ\alpha, \beta, \gammaα,β,γ be the roots of the characteristic equation. Which expression gives the closed form for ana_nan​?