Simple C++ Program for Print Pascal Triangle Pattern

About this program

This is an example program in c pattern example programs. Read the concept first: Control Structures in C++, then study the code and output below.

Definition

Pascal’s triangle is a triangular array of the binomial coefficients. The rows of Pascal’s triangle (sequence A007318 in OEIS) are conventionally enumerated starting with row n = 0 at the top (the 0th row). The entries in each row are numbered from the left beginning with k = 0 and are usually staggered relative to the numbers in the adjacent rows. Having the indices of both rows and columns start at zero makes it possible to state that the binomial coefficient appears in the nth row and kth column of Pascal’s triangle.

Simple C++ Program for Print Pascal Triangle Pattern

/*## Simple C++ Program for Print Pascal Triangle Pattern - Example C++ Program */
/*## Basic Pattern C++ Programs, Inverted Pascal Pattern C++ Programming*/

// Header Files
#include <iostream>
#include<conio.h>

using namespace std;

long factorial(int);

int main() {
    int numberOfRows, i, j;

    cout << "Simple C++ Program for Print Pascal Triangle Pattern\n";

    //Read Day Value
    cout << "Enter the number of rows to be printed in your pascal triangle : ";
    cin>>numberOfRows;

    for (i = 0; i < numberOfRows; i++) {
        for (j = 0; j <= (numberOfRows - i - 2); j++)
            cout << "  ";

        for (j = 0; j <= i; j++)
            cout << "  " << factorial(i) / (factorial(j) * factorial(i - j)) << "  ";

        cout << "\n";
    }

    getch();
    return 0;
}

long factorial(int n) {
    int c;
    long result = 1;

    for (c = 1; c <= n; c++)
        result = result * c;

    return result;
}

Sample Output

Output is:
Enter the number of rows to be printed in your pascal triangle : 9
        1
       1 1
      1 2 1
     1 3 3 1
    1 4 6 4 1
   1 5 10 10 5 1
  1 6 15 20 15 6 1
 1 7 21 35 35 21 7 1
1 8 28 56 70 56 28 8 1

Related Pages

Learn the concept first, then study the code:

• C++ Programs — Browse all C++ Programs.
• Control Structures in C++ — Concept — loops used in pattern programs.
• Left Triangle C++ Example Program — More in c pattern example programs.
• Simple C++ Program for Print Inverted Left Triangle Pattern — More in c pattern example programs.