Too much Binomial!

Algebra Level 4

(C0+C1)(C1+C2)(C2+C3)(Cn1+Cn) (C_0 + C_1)(C_1 + C_2)(C_2 + C_3)\cdot \cdot \cdot (C_{n-1} + C_n)

Let CkC_k denote the binomial coefficient (nk) \dbinom {n}{k} , can you simplify the product above for positive integer n>1n > 1 ?

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