# Unknown Catalan Number series!

Algebra Level 4

Let $$F(x)$$ be a quartic polynomial that satisfy the $$F(n) =C_ n$$, for $$n=1,2,3,4,5$$, where $$C_n =\dfrac{(2n)!}{n! (n+1)!}$$ denote the $$n^\text{th}$$ Catalan number. Find $$F(6) + F(7)$$.

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