Largest Non-Consecutive Sum

public static void main(String []args)
{
    int a[] = {1,13,10,2,5,9,15,20,8};
    int result[] = new int[a.length];
    result[0] = a[0];
    int max = 0;
    int index = 0;

    for(int i=0; i<a.length; i++)
    {
        max = 0;
        for(int j=0;j<i-1;j++)
        {
            if(result[j] > max)
                max = result[j];
        }
        result[i] = max + a[i];
    }

    for(int i=1; i<result.length; i++)
    {
        if(result[i] > max)
            max = result[i];
    }

    System.out.println(max);
    }
}