On 02/01/2011 05:12 PM, David Winsemius wrote:

On Feb 1, 2011, at 3:51 PM, Kiogou Lydie wrote:

Yet, j! will stop at 170 and Π (i-1-d) at 172; so, a[j] will
not exceed 170.

I would like to have at least 200 a[j].

> factorial(200)
[1] Inf
Warning message:
In factorial(200) : value out of range in 'gammafn'

This is quite a nice number with 375 digits. You can compute it 'within' R with a call to, e.g., the arbitrary precision calculator bc, using the r-bc package [1] by Gabor Grothendieck:

library(bc)
factorial = function(n) bc(sprintf('
    define factorial(n) {
        if (n < 2) return (1)
        f = 2
        i = 2
        while (i < n) f *= ++i
        return (f) }
    factorial(%d)', n))

f200 = factorial(200)
f2000 = factorial(2000)
f20000 = factorial(20000)
...

The outcome is an object of the class 'bc', and you can (carefully) perform computations with it (with bc doing the job behind the scenes, as R cannot store integers of this magnitude).

vQ

[1] http://code.google.com/p/r-bc/

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