Pascals triangle

Pascals triangle is a triangular array of binomial coefficients. The numbers outside Pascals triangle are all “0”. These “0s” are very important for the triangular pattern to work to form a triangular array. The triangle starts with a number “1” above, and any new number added below the upper number “1” is just the sum of the two numbers above, except for the edge, which is all “1”.

Program code:

#include <iostream>
using namespace std;

int main()
{
    int r, coeff = 1;

    cout << "Enter number of rows: ";
    cin >> r;

    for(int i = 0; i < r; i++)
    {
        for(int space = 1; space <= r-i; space++)
            cout <<"  ";

        for(int j = 0; j <= i; j++)
        {
            if (j == 0 || i == 0)
                coeff = 1;
            else
                coeff = coeff*(i-j+1)/j;

            cout << coeff << "   ";
        }
        cout << endl;
    }

    return 0;
}

Output:

Enter number of rows: 6
            1   
          1   1   
        1   2   1   
      1   3   3   1   
    1   4   6   4   1   
  1   5   10   10   5   1  

Note: also read about Christmas Tree Pattern

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