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?
Look up the Stirling numbers and the falling factorial.
Sign up using Google
Sign up using Facebook
Sign up using Stack Exchange
4 years ago
Get the weekly newsletter!
see an example newsletter