根据规则可以看出来就是n的卡特兰数乘二

import java.math.BigInteger;import java.util.Scanner;public class Main{
         public static void main(String[] args) {        Scanner in=new Scanner(System.in);        int n=0,i=0,cas=0;        BigInteger[] a=new BigInteger[50];        a[0]=BigInteger.ONE;        for(i=1;i<=36;i++)        {            a[i]=a[i-1].multiply(BigInteger.valueOf(4*i-2)).divide(BigInteger.valueOf(i+1));            a[i-1]=a[i-1].multiply(BigInteger.valueOf(2));        }        while(in.hasNextInt())        {            n=in.nextInt();            if(n==-1) break;            cas++;            System.out.print(cas+" "+n+" ");            System.out.println(a[n]);        }        in.close();    }}

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