算法实现三角形式输出C(n,k)

Practice :

The values of the combinations method used in the text are often displayed in the form of a triangle using the following arrangement:

C(0,0)

C(1,0)   C(1,1)

C(2,0)   C(2,1)   C(2,2)

C(3,0)   C(3,1)   C(3,2)   C(3,3)

C(4,0)   C(4,1)   C(4,2)   C(4,3)   C(4,4)

and so on.  This figure is called Pascal’s Triangle after the seventeenth-century French mathematician Blaise Pascal, who described it, even though it was known by Chinese mathematicians over 2000 years ago.  Pascal’s Triangle has the interesting property that every interior entry is the sum of the two entries above it.

　　Write a Java Program  to display the first eight rows of Pascal’s Triangle.

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Program:

 package chapter5;

 public class triangleCn {

 　　static int n=8;
 　　public void run(){ triangleCn(); }     //  调用方法triangleCn()

  public static String triangleCn(){
   
   　　 for(int i=0;i<=n;i++){    　 //控制行数
    
   　　 Combinations com1=new Combinations(); 　　 // 实例化Combinations对象

 
   　　 for(int k=n;k>=i;k--){ 　　　//控制输出格式三角型
    　　 　　System.out.print(" ");
    　　}

   　　 for(int j=0;j<=i;j++){  　　　　//控制每行的输出的数字
    　　　　int num1=com1.Combinations(i, j);   　　//调用函数Combinations(int n, int k)
   　　 　　System.out.print(" "+num1);
     　　 }
    　　System.out.println();
  　　   }
  　　return null;
 　　 }
 
　　}