> I wrote...
>
>
> a recursive version is not nearly as much fun. it would look like p(n,x):= if n=0 then 1 else if n=1 then x else ...
>
Richard Hennessy's is a Rodriguez formula for the same polynomials, and
is not recursive, but certainly works too.
If you are doing a lot of computations with them, try to simplify the
polynomials
when you create them, instead of later.