Re: binomial() challenge (+thanks)

[Bill Allombert <Bill.Allombert@math.u-bordeaux.fr>]

On Mon, Nov 28, 2022 at 12:58:57PM +0100, Ruud H.G. van Tol wrote:
> 
> On 2022-11-26 19:09, Bill Allombert wrote:
> > On Sat, Nov 26, 2022 at 01:17:28PM +0100, Ruud H.G. van Tol wrote:
> > > 
> > > PARI binomial() challenge:
> > > 
> > > binom_1(n,k) = gamma(n+1) / gamma(k+1) / gamma(n-k+1)
> > > binom_2(n,k) = exp(lngamma(n+1) - lngamma(k+1) - lngamma(n-k+1))
> > Ah! You had a one-time-in-a-life opportunity to use the factorial() function
> > and you blew it!
> Heheh, I use factorials all the time,
> for stuff like this:
> https://en.wikipedia.org/wiki/Factorial_number_system

I am not speaking about the factorials, but about the little-known factorial()
GP function!

Cheers,
Bill