Second Order Recurrence Relation with Exogenous Forcing Sequence

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I am solving an infinite horizon maximization problem, which yields as FOC second-order recurrence relation

$A_{n+1} = \delta A_{n+2} + \delta A_{n} + c_n$,

where $\{c_n\}_{n=0}^\infty$ and $\delta$ are exogenous (i.e. I need a solution for $A_n$ in terms of $\delta$ and $c_n$). Is there a textbook way of solving this that I missed (no maths major here, so entirely possible)? (I know how to solve this without the forcing term).

Thanks and Best wishes,

Leon