Pascal's Traingle w/o formula.

    public static void PascalTriangle(int lines){
       
        int [][] triangle ;
        triangle= new int [lines][lines];
        for (int lineIndex = 0 ; lineIndex < lines ; lineIndex++){
           
            for (int col = 0 ; col < lineIndex ; col++) {
                if ( (col == 0) ||  (col == lineIndex - 1 ) ) {
                    // First and last element in Pascal's triangle is always 1.
                    triangle[lineIndex][col] = 1 ;
                }  else  {
                    if (lineIndex != 0 ) triangle[lineIndex][col] = triangle[lineIndex-1][col-1] + triangle[lineIndex-1][col];
                }
                System.out.print(" " +  triangle[lineIndex][col] );
            }
            System.out.println();
           
        }
    }