I wonder if there exists a formula for this function? $f(x) = (x-1)(x-2)(x-3) \cdots (x-k)$ I want to know the coefficient of each $x^i$, and the first thing I came up with was to find the expansion of this expression. Any idea?
Thanks,
I wonder if there exists a formula for this function? $f(x) = (x-1)(x-2)(x-3) \cdots (x-k)$ I want to know the coefficient of each $x^i$, and the first thing I came up with was to find the expansion of this expression. Any idea?
Thanks,
Look up the Stirling numbers and the falling factorial.