60 : C Program to display Pascal Triangle (Pyramid) sequence 8

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We have seen half and full pyramid's of stars numbers and alphabets, now we need to create a Pascal's triangle. For this you need to know what a pascal triangle is,

A pascal's triangle is a triangular array of binomial coefficients. for more details read wiki page : http://en.wikipedia.org/wiki/Pascal's_triangle

To get this, we need to have 2 nested loops. One for row and second to print the numbers for the row.

To achive this you need to have 3 nested for loops. 

                   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




Variables :

i : Datatype int : Used in for loop1.

j : Datatype int : Used in for loop2.



Logic : 


    for(i=1;i<10;++i)
    {
        for(j=1;j<=i;++j)
        {
           printf("%c ",i+64);   //we print our char i+64 
        }
        printf("\n");
    }







/*
 * 1000+ C programs + tutorials
 *
 * 
 * 57_c_program_to_display_half_pyramid_of_alphabets_sequence_4
 *  
 *
 *
 *  Created on: Oct 22, 2014
 *  Author: Code2care.org
 */

#include 
//#include <conio.h>

void main() {


//    clrscr();

   int coeff=1;
    int i,j,k;

    for(i=0;i<8;i++)
    {
        for(j=1;j<=8-i;j++) {
            
           printf("  ");
           
        }
        for(k=0; k<=i; k++)
        {
            if (k==0 || i==0) {
                
                coeff=1;
            }
            else {
                
               coeff = coeff*(i-k+1)/k;
            }
            
            printf("%4d",coeff);
        }
        printf("\n");
    }

//	getch();


}








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