#include "stdafx.h"
#include <iostream>
#include <iomanip>

using namespace std;

long int factorial(int n)
{
	if (n == 1 || n == 0) return 1;
	else return n* factorial(n - 1);
}


int main()
{
	double l[100];
	l[0] = 0; //l[0] = 1
	l[1] = 1; //l[1] = 0
	l[2] = 0;
	l[3] = 1./12.; // l[3] = 0
	cout.setf(ios::fixed);
	for (int j = 2; j < 100; j++) {
		int sum = 0;
		for (int k = 1; k <= j; k++) {
			sum += ((j - k + 2)*(j - k + 1)*l[j - k + 2]) / factorial(k);
		}
		l[j + 2] = -(2*sum - j*l[j] + 6 * l[j - 2]) / ((1 + j)*(2 + j));
	}
	for (int i = 0; i < 100; i++) {
		cout << "l[" << i << "]\t" << setprecision(6) << l[i] << endl;
	}
	cout.unsetf(ios::fixed);
	getchar();
}