Catalan & Stirling 1

[Max A.]

On 8/14/06, Emeric Deutsch <deutsch at duke.poly.edu> wrote:

> Let c(n) be the Catalan numbers and s(n,j) the unsigned
> Stirling numbers of the first kind.
> I'd appreciate any reference about the formula
>
> c(n)=(1/n!)Sum(s(n,j+1)*(n+1)^j, j=0..n-1).

E.g.: a particular case of formula (11) at
http://mathworld.wolfram.com/StirlingNumberoftheFirstKind.html for
x=-(n+1).

Max