Start once, second half is easier

Let a recurrence relation be defined as follows: a1=1; a2=3; an+2=(n+3)an+1(n+2)an  nNa_1=1;\ a_2=3;\ a_{n+2}=(n+3)a_{n+1}-(n+2)a_{n}\ \forall\ n\in N

Calculate the sum of all values of xx such that ax=x2a_{x}=x^2.

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