#include <iostream>
#include <cmath>

double factorial(int arg)
{
    if(arg < 2)
    {
        return arg;
    }
    else
    {
        return arg * factorial(arg - 1);
    }
}

int main()
{
    using namespace std;

    int CountOfElements = 10;

    double eps = 0.01;
    double buffForOneElem = 0;
    double accumForAllElems = 0;
    double delta = 1;
    int n = 1;
    int k = 1;
    for(int k = 1; k < CountOfElements; k++)
    {
        buffForOneElem = 0;
        n = 1;
        do
        {
            delta = (pow(n, k) / factorial(n));
            buffForOneElem += delta;
            n++;
        }while(delta > eps);
        buffForOneElem /= M_E;
        cout << k << "th element is " << round(buffForOneElem) << endl;
        accumForAllElems += buffForOneElem;
    }

    cout << "Sum of " << CountOfElements << " elements is " << accumForAllElems << endl;
}