#include <bits/stdc++.h>

using namespace std;
#define int long long

signed main() {
    ios::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);
    int n;
    cin>>n;
    vector<int>a(n+1);
    vector<double>f(n+1);
    vector<int>self(n+1),st(n+1),p;
    vector<vector<int>>fac(n+1);
    int tot=0;
    for(int i=1;i<=n;++i) cin>>a[i],tot+=a[i];
    st[1]=1;
    for(int i=1;i<=n;++i){
        for(int j=i;j<=n;j+=i) self[j]+=a[i];
        if(!st[i]){
            p.push_back(i);
            for(int j=2*i;j<=n;j+=i) st[i]=1;
        }
        for(int j=1;j*j<=n;++j){
            if(i%j) continue;
            fac[i].push_back(j);
            if(i/j!=j) fac[i].push_back(i/j);
        }
    }
    vector<vector<int>>sum(n+1);
    for(int i=1;i<=n;++i){
        int ans=0;
        for(int j=i+i;j<=n;j+=i){
            for(auto v:fac[j]){
                if(__gcd(j/v,j/i)==1) ans+=a[v];
            }
            sum[i].push_back(ans);
        }
    }
    for(int i=n;i;--i){
        double p=self[i]*1./tot;
        f[i]=p/(1-p);
        double ans=0;
        int cnt=0;
        for(int j=i+i;j<=n;j+=i){
            ans+=f[j]*(sum[i][cnt++]*1./tot);
        }
        f[i]+=1./(1-p)*ans;
    }
    cout<<setprecision(15)<<f[1]<<endl;
}