f_x.cpp

// Example program
#include <iostream>
#include <string>

float n;
float p;
float f0;

float f(int k) {
    if ( k == 0 )
        return f0;
    else
        return (p / (1 - p)) * ((n - k + 1) / (k)) * f(k - 1);
}

int main()
{
    std::cout << "Enter p:";
    std::cin >> p;
    std::cout << "Enter n:";
    std::cin >> n;
    std::cout << "Enter f(0):";
    std::cin >> f0;
    
    std::cout << "f(0):" << f0 << std::endl;
    for (int i = 1; i <= n; i++)
        std::cout << "f(" << i << "):" << f(i) << std::endl;
}