#define rep(i,n) for(int i=0;i<(int)(n);i++)
#define ALL(v) v.begin(),v.end()
typedef long long ll;
 
#include<bits/stdc++.h>
using namespace std;

const int MOD=998244353;
int n;
ll dp[2020][2020];
ll f(ll x,ll y){
  if(dp[x][y]) return dp[x][y];
  if(x==0 || y==0) return dp[x][y]=0;
  ll sum=0;
  sum=(sum+f(x-1,y-1)*(x*y-x-y+2)%MOD)%MOD;
  if(x>2) sum=(sum+f(x-2,y)*((x-1)*(x-2)/2)%MOD)%MOD;
  if(y>2) sum=(sum+f(x,y-2)*((y-1)*(y-2)/2)%MOD)%MOD;
  return dp[x][y]=sum;
}
 
int main(){
  ios::sync_with_stdio(false);
  std::cin.tie(nullptr);
  
  dp[0][0]=1;
  cin>>n;
  rep(i,2*n+1) cout<<f(i,2*n-i)<<'\n';
    
  return 0;
}