Bill Allombert on Mon, 16 Mar 2009 23:03:11 +0100


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Re: Stirling numbers 

On Mon, Mar 16, 2009 at 05:37:40PM +0100, Rampal S Etienne wrote:
> Hi,
> 
> Is there a quick way of computing the vector of Stirling numbers of the
> first kind s(n,k) for all k?
> 
> The catalogue only gives an example for Stirling numbers of the second kind.

For the Stirling numbers of the first kind, the function below should
return all the s(n,k) as a vector:

vecstirling(n)=Vec(factorback(vector(n-1,i,1-i*'x)))

(and should work with both PARI 2.3 and PARI 2.4)

Cheers,
Bill.