Le vendredi 23 février 2024 à 23:23:20 UTC+1, Dima Pasechnik a écrit :

[ Snip…]

the normal Python way, without any symbolic sum, would be like this:


sage: sage: g(n,k,r)=(-1)^(k)*binomial(n,k)*(n-k)^r/n^r
....: sage: def f(n,r): return math.fsum([1.0*g(n,k,r) for k in range(n+1)])
....: sage: f(365,2000)
0.21611945163321847

This works *in Sagemath*. It wouldn’t work in Python : the range of the 
magnitudes of the terms of the *alternating* sum are way too large for the 
precision of Python’s floats, necessary if you want to use math.comb. 
Programming this in Python would need some serious analytical work, or 
using a multiple-precision integer library, which Sage does for you…

[ Re-snip... ]

HTH,


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