Not Pascal's Identity

Algebra Level 2

C1C0+2 C2C1+3 C3C2++15 C15C14 \frac {C_1}{C_0} + 2\ \frac {C_2}{C_1} + 3\ \frac {C_3}{C_2} + \ldots + 15\ \frac {C_{15}}{C_{14}}

Let CrC_r denote the binomial coefficient (15r) { 15 \choose r } . What is the value of the expression above?

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